# 4 Dice Probability

com Dice Probability Charts. In this case, the probabilities of event A and B are multiplied. So when they're talking about rolling doubles, they're just saying, if I roll the two dice, I get the same number on the top of both. The randomness comes from atmospheric noise, which for many purposes is better than the pseudo-random number algorithms typically used in computer programs. The most commonly used dice are cubes with six sides. The probability of rolling at least. Home > Numerical Tests > Probability > Probability Questions. The average winning probability for two dice is 59%. there are 4 white balls, 2 yellow balls, and 2 green balls. There are 62=36. We can do this as the conditions don't overlap, so they are independent events. In other words, you have a 1 in 6 chance (or a 1 out of 6 chance) of rolling a 1 when you roll the die. Giving it a probability of 1 signifies our certainty that while we can’t be sure of each. Law of Total Probability: The “Law of Total Probability” (also known as the “Method of C onditioning”) allows one to compute the probability of an event E by conditioning on cases, according to a partition of the sample space. Probability Calculator is an online statistics & probability tool to estimate the possibility of single or multiple independent, complement, mutual or non-mutual, union, intersection & conditional probability of events to occur in statistical experiments. Probability that a specified number of shake the dice, the total value of exits is calculated. Short-run dice rolling; 4. She recorded the suit of the card she picked, and then replaced the card. The probability is therefore 1/52 x 26/51 = 1/102. A probability is a number between 0 and 1. The variable ‘n’ states the number of times the experiment runs and the variable ‘p’ tells the probability of any one outcome. There are may different polyhedral die included, so you can explore the probability of a 20 sided die as well as that of a regular cubic die. There are 120 possible combinations of the 216 possible outcomes where all three dice are different {A,B,C}. random variables that take a discrete set of values. Improve your math knowledge with free questions in "Find the probability" and thousands of other math skills. $$\sum P(X) = 1$$ 3. Of these, the 2d6 die roll is the most common. the sample space for this experiment b. The first die can be anything. In Experiment 1 the probability of each outcome is always the same. If the biggest number rolled is five or six, player 2 wins. General Tools. Changing colors will help you to identify your regions on the spinner. Then a ball is drawn at random from the second urn. Chapter 4: Probabilities and Proportions Section 4. Example 6 A die is thrown twice and the sum of the numbers appearing is observed to be 6. Probability quantifies as a number between 0 and 1, where, roughly speaking, 0 indicates impossibility and 1 indicates certainty. If you manage your time then you can do well in those exams. When people are unsure of their model of reality, then the outcome they observe will cause them to update their beliefs. Find the probability of rolling doubles on two six-sided dice numbered from 1 to 6. The more you roll a die, or the more dice you roll, the more things will tend towards the average. Here are two more examples:. This will let you easily "roll" the dice thousands of times! Experiment 4: More dice. A probability distribution is the theoretical counterpart to the frequency distribution. Lead a conversation with the students to discuss the probability of how likely it is to roll a number until students realize the probability of rolling any number on a die is 1/6. Suppose a die is thrown randomly 10 times, then the probability of getting 2 for any one throw is ⅙. The probability that he walks home from college is 0·7. Roll the die a few times and record the numbers rolled on the board. In one roll, the probability of rolling a 6 is 1/6. If you want to save to a personal computer, you can download this image in full size. When he does not get a lift he walks. to see list of item sizes, names and colors. The variable ‘n’ states the number of times the experiment runs and the variable ‘p’ tells the probability of any one outcome. You could roll a double one [1][1], or a one. "Permutations" makes the same calculation, but in this case different arrangements of the same items are also counted. 05 Consider the experiment of rolling 2 fair 5-sided dice. Now if we see the no. So the probability is 4/36 = 1/9. The probability of the second card you draw being red depends on what card was drawn the first time. The probability of landing on each color of the spinner is always one fourth. What is the expected number of throws (including the throw giving 6) conditioned on the event that all throws gave even numbers. (c) C = ”throwing a total score of 14 with two dice”. Learn about fractional probability. 2 Pair is Great. If you list all the outcomes of a probability experiment (such as rolling a die) the probability that one of these outcomes will occur is 1. What's the probability of getting one head in each of two successive sets of four flips? Well, it's just 1/4 × 1/4 = 1/16 = 0. Classic Traveller resolves many actions by random numbers generated by 6-sided dice, typically 1d6 or 2d6. numbers on both dice Answer: Find the probability of showing an odd number on the second die Answer: Find the probability of not showing prime number on the first die Answer: Find the probability of showing prime numbers on both dice Answer: Find the probability of showing same numbers on both dice Answer: Pair of Dice Worksheet Answer key. For example, what is the probability that the total of two dice will be greater than 8 given that the first die is a 6? This can be computed by considering only outcomes for which the first die is a 6. What is the probability of the sum on the two dice being less than 10? I thought since there are 6 ways each dice could potentially end up, that I should multiply them to get 36 possible outcomes. ' and find homework help for other Math. Homework Statement 4 dice are rolled. ) If two dice are thrown, what is the probability that one of them will come up greater than four? 5. 4 Data Management and Probability, Grades 4 to 6 • Environmental accommodations are supports or changes that the student may require in the physical environment of the classroom and/or the school, such as preferential seating or special lighting. Random refers to a situation in which there are various possible outcomes, you don’t know which one will occur, but there is a regular. Then a ball is drawn at random from the second urn. What is the probability of selecting a blue car with a 6-cylinder engine and an automatic transmission? 8 1 or 0. This probability is written P(B|A), notation for the probability of B giv. For two rolls, there is a 1/6 probability of rolling a six on the first roll. Calculating the probability of fifty consecutive rolls of 7 a la the short story "The Barnhouse Effect" by Kurt Vonnegut. P(A B) = Exercises 3-6, compute the conditional probabilities. I used to bet even money that I would get at least one 6 in four rolls of a fair die. What is the expected number of throws (including the throw giving 6) conditioned on the event that all throws gave even numbers. Thus the sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is 6/36 = 1/6. Therefore the probability of rolling a 5 and a 4 is (1/6)(1/6) = 1/36. Question: If you roll a pair of fair dice, what is the probability of each of the following? (round all answers to 4 decimal places,. 6C3 = 20 which means that in throwing 6 dice you are in effect making 20 throws of 3 dice. Probability. Determine the probability of each of the. To get probability of one result and another from two separate experiments, multiply the individual probabilities. Show host, Monty Hall would ask a contestant to pick one of three doors. the event that we are concerned with is "getting 6 atleast once, when rolling the die 4 times" the complement of this event would be the opposite of it, ie the event in which NO 6 is got in 4 rolls of the die. edu is a platform for academics to share research papers. If we plot the likelihood of rolling a 6 on a dice in the probability line, it would look something like this:. 08 (a) Use the probability distribution to find the mean of the probability distribution. If one die is 4, the other die must be 3. Consider next the probability of E, P(E). Example: What is the probability of rolling a 6 with a pair of standard dice? There are five ways to roll a 6: (1,5)(2,4)(3,3)(4,2), and (5,1). The randomness comes from atmospheric noise, which for many purposes is better than the pseudo-random number algorithms typically used in computer programs. The best source for free probability worksheets. You can say that the probability of getting a 6 is. If I roll 4 dice, what is the probability that none of the dice showing is a 4? I thought it was (5/6 * 5/6 * 5/6 *5/6) but that is not it. Examples (i) The sum of two dice. So you have a 16. That probability is 1/6. In a random experiment the outcomes are independent so the first two statements are incorrect. Determine the probability of each of the. With two dice, the chain ordered by word-length is stronger than the alphabetical chain. So, the probability that all the dice will be different is 5/6 x 4/6 = 20/36 which can be unsimplified to 120/216. Thus, the probability of rolling a 4 is. A frequency distribution simply shows how many times a certain event occurred. Since there are six possible outcomes, the probability of obtaining any side of the die is 1/6. In a throw of coin what is the probability of getting tails. What is the probability of all 3 dice showing even face values? Solution: Even faces means 2, 4, 6. The dice is rolled and the coin is flipped according to the number the die is rolled. For each die, it is equally likely that 1,2,3,4,5 or 6 dots will appear. This site is the homepage of the textbook Introduction to Probability, Statistics, and Random Processes by Hossein Pishro-Nik. What is the probability that the sum of the numbers on the dice is seven?. This will let you easily "roll" the dice thousands of times! Experiment 4: More dice. If the biggest number rolled is five or six, player 2 wins. there are 4 white balls, 2 yellow balls, and 2 green balls. The probability of. This game in particular will help your kid learn how to answer some of those tough probability questions, such as, "How likely is it that the total of two rolled dice will be six?" or "What is the probability of rolling two threes?". If you want to save to a personal computer, you can download this image in full size. If two dice are thrown, what is the probability that the sum of the numbers on the two faces is greater than 10 ? 9. So your odds of rolling snake eyes are about 35 to 1. What is the probability of rolling a 4 on a 10 sided dice? Answer. Compute the probability of two independent events both occurring 4. random variables that take a discrete set of values. This is possible 4 of the 36 times, giving a probability the sum of the two dice rolled of 4/36 or 1/9. The probability that one or other of the two events, ace or deuce, will occur is 3. Ore18 claims that a gambling rule of the time suggested that, since four repetitions was favorable for the occurrence of an event with probability. For example, if A is the event the die will show an even number, then A = {2, 4, 6}, what probability would you assign to this event? Game Spinner Example (continued). b) Consider that throwing 2 dice at a time is a trial and occurrence of '(1, 1)' in a trial is a success. Example 2: Two Rolls of a Die. I have two quick questions about dice probability for a homebrew RPG/card game. A single outcome of this experiment is rolling a 1, or rolling a 2, or rolling a 3, etc. In a random experiment the outcomes are independent so the first two statements are incorrect. All you need to do these experiments are: Two dice; An hour or so of. Probability Of a 4 sided die. TCS Numerical Ability Question Solution - 4 men throw a die each simultaneously. In this math worksheet, students read tally tables and a bar graph to compare the number of items and determine which scenario is most or least likely. What you'll need. Work with a dice or a bag of colored balls to find out what outcomes are possible for an event i. the probability of obtaining an even number c. In the 1600’s Fermat in his correspondence with Pascal develop the theory of probability. The Basic Rule. Dice Resume. You could roll a double one [1][1], or a one. Probability of not getting a 6 6. Math concepts: Students of all ages can play this game, as long as they're able to add the numbers that come up on two dice. Notice that as n increased, the relative frequency seems to approach a number. so E = {3}. So the probability of a 7 on the dice is 1/6 because it can be produced in 6 ways out of a total of 36 possible outcomes. If it's rainy and there is heavy traffic, I arrive late for work with probability $\frac{1}{2}$. Probability and relative frequency; 2. The randomness comes from atmospheric noise, which for many purposes is better than the pseudo-random number algorithms typically used in computer programs. The sum of the dice being between 2 and 10: _____ 4. Because the trials are independent, the probability of the event (all six dice) is the product of each probability of each outcome (die). Two Dice are thrown We need to find the Probability that the sum of numbers on the dice is 4, given that the two numbers are different. Both the 6-sided dice game mat and the 12-sided dice game mat are included with directions. In many card games (such as poker) the order in which the cards are drawn is not important (since the player may rearrange the cards in his hand any way he chooses); in the problems that follow, we will assume that this is the case unless otherwise stated. Find P(sum of 1) when two dice are rolled. For a single spin, what is the theoretical probability of spinning green?. There are 120 possible combinations of the 216 possible outcomes where all three dice are different {A,B,C}. In our example, the probability of Pascal winning the game is 3 4 = 0. General Tools. we can find the probability of this event and then subtract it from 1 to get our required answer. Probability of not getting a 6 6. Free student math practice. Determine whether two events are mutually exclusive and whether two events are independent. Knowing the probability of throwing a certain dice score can often be the difference between success or failure in gaming terms — or dictate whether you include a certain weapon or wargear item in your list. Let's apply this to the two dice. Then a ball is drawn at random from the second urn. So multiply these two together and you find that the probability of getting BOTH a 1 on the first die AND a 4 on the second die is 1/36. To get probability of one result and another from two separate experiments, multiply the individual probabilities. Suppose I roll a 4-side dice 25 time to get a final sum between 25 and 100. Towards probability with dice; 7. A probability of a thing happening after another thing happened is found by multiplying the two chances. Probability and relative frequency; 2. Question What is the probability of getting at least one six in a single throw of three unbiased dice? (1) 1 / 6 (2) 125 / 216 (3) 1 / 36 (4) 81 / 216 (5) 91 / 216. In other words, the sum of the probabilities in any probability is 1. The ways you can get exactly 2 successes in 6 trials are given below. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on. The probability of getting an odd number when we throw a single die is The probability of getting a number less than four when a die is rolled is __ Find the probability of throwing a number greater than 4 when a die is rolled. The probability of rolling a 4 in a die is 1 in 6, or about 0. The number of possible outcomes in E is 1 and the number of. For instance, a typical cubic dice should give a probability of 1/6 for the face values 1,2,3,4,5 and 6. This event is unlikely to happen. What is the probability of rolling a six on all four rolls?' and find homework help for other Math questions at eNotes. With two dice, the chain ordered by word-length is stronger than the alphabetical chain. Quickly generate a random dice roll for gambling, roleplaying, or just making a choice. Random Variables • Many random processes produce numbers. A probability is a number between 0 and 1 which describes the likelihood of a certain. Shooting dice, also known as street craps, is a slightly simplified version of traditional Casino Craps, and is a classic hustle. Free help from wikiHow. So you have a 16. What is the probability of rolling a 4 on a 10 sided dice? Answer. Ore18 claims that a gambling rule of the time suggested that, since four repetitions was favorable for the occurrence of an event with probability. You can also think of a sample space of all 36 possible outcomes, with the doubles highlighted: How about the probability of rolling snake eyes (1,1)? Well, using the sample space above, it’s 1/36. Let Xj represent the number that comes up when J-th fair die is rolled, 7=1, 2,---, k. Use the below Multiple Dice Probability calculator to calculate the possible outcomes. Example question: What is the probability of rolling a 4 or 7 for two 6 sided dice? In order to know what the odds are of rolling a 4 or a 7 from a set of two dice, you first need to find out all the possible combinations. Finally, there is a 4/6 chance that the third die will be different for the first two. So, the probability that all the dice will be different is 5/6 x 4/6 = 20/36 which can be unsimplified to 120/216. In other words, you have a 1 in 6 chance (or a 1 out of 6 chance) of rolling a 1 when you roll the die. That's a 1 twice and something else 8 times to make up all ten rolls. Example A dice is thrown, cases 1,2,3,4,5,6 form an exhaustive set of events. Unfortunately, I do not believe I was successful in explaining to Kent why my figures were correct. Probability. , 25%) or as a proportion between 0 and 1 (e. If you manage your time then you can do well in those exams. Who has the best probability of winning the game? Leonardo Barichello explains how probability holds the answer to this seemingly counterintuitive puzzle. The only way to get a sum 2 is to roll a 1 on both dice, but you can get a sum of 4 by rolling a 1-3, 2-2, or 3-1. Ismor Fischer, 5/26/2016 4. Probability of not getting a 6 6. 4 Data Management and Probability, Grades 4 to 6 • Environmental accommodations are supports or changes that the student may require in the physical environment of the classroom and/or the school, such as preferential seating or special lighting. The higher the probability of an event, the more certain that the event will occur. One die has pips 1,2,2,3,3,4 and the other is marked 1,3,4,5,6,8. ) standard deviation d. One ball is drawn at random from the rst urn and it is placed in the second urn. ) find the expected value of the probability distribution. For four six-sided dice, the most common roll is 14, with probability 73/648; and the least common rolls are 4 and 24, both with probability 1/1296. If this occurs, we've satisfied our condition. Probability on Graphs Random Processes on Graphs and Lattices GEOFFREY GRIMMETT Statistical Laboratory University of Cambridge c G. On a mission to transform learning through computational thinking, Shodor is dedicated to the reform and improvement of mathematics and science education through student enrichment. randint(0,le. There are 6 values we can pick for the four of a kind, C 5,4 ways of picking the dice that will show this number, and 5 values to assign to the remaining die. Dice Home > Math Manipulatives, Supplies & Resources > Probability > Dice Perfect for teaching probability and statistics and for use in math games and activities, dice ranging from 4-Sided to 30-Sided. Click the Change Spinner button. The relationship between mutually exclusive and independent events. 1&4, 2&3, 3&2 and 4&1). The probability of obtaining a number different from both 1 and 2 is a. A random variable, X, is a function from the sample space S to the real. Four 4 die the number grows to 16 = 2 4, and so on. Let's say I have a standard D4 and a custom D8 that has printed 1-4 and then 1-4 again (for a total of 8 sides). 4 of a kind is Excellent. So, the probability that all the dice will be different is 5/6 x 4/6 = 20/36 which can be unsimplified to 120/216. Exhaustive events. Consider next the probability of E, P(E). While younger children benefit from the practice of adding, older students have the opportunity to think about the probability of the sums from rolling two dice. In that case, we need to see if the second roll is a 6. That probability is 1/6. Here, we will see how to calculate probabilities for rolling three standard dice. Giving it a probability of 1 signifies our certainty that while we can’t be sure of each. Some more examples: 1) If we roll 4 dice, what is the probability that at least one of them lands with the "6" face on top?. A 2 and a 2, that is doubles. 2 Pair is Great. With two dice, the chain ordered by word-length is stronger than the alphabetical chain. It is a relatively standard problem to calculate the probability of the sum obtained by rolling two dice. ) A bag contains six white balls, four green balls, and three brown balls. 3 Non-Standard Dice 42. Probability - Problem Solving. Suppose I roll a 4-side dice 25 time to get a final sum between 25 and 100. When every possible out come of an experiment is considered. If one of the dice shows an odd number what is the probability of the sum of the dice being 7 ?. 4 (conditional probability). Examples (i) The sum of two dice. Given that it is rainy, there will be heavy traffic with probability $\frac{1}{2}$, and given that it is not rainy, there will be heavy traffic with probability $\frac{1}{4}$. Problem : If a dice is rolled once, what is the probability that it will show an even number? An odd number? ,. If you're going to take a probability exam, you can better your chances of acing the test by studying the following topics. Even though we discuss two events (usually labeled A and B), we’re really talking about performing one task (rolling dice, drawing cards, spinning a spinner, etc. The goal here is to understand what these bets are and how the casino makes money. Here's another example based on probability when two dice are thrown! To view more interesting videos about Probability, please visit https://DontMemorise. Probability of an event = Number of ways the event could happen Total number of possible outcomes. Loop through each dice face (by the way, the numbers of faces should be kept in a variable) 5. In this math worksheet, students read tally tables and a bar graph to compare the number of items and determine which scenario is most or least likely. A central band of probability is highlighted, based on rolling any result between 5 and 9. Problem : If a dice is rolled once, what is the probability that it will show a prime number (1 is not prime)?. It is an open access peer-reviewed textbook intended for undergraduate as well as first-year graduate level courses on the subject. Here, we will see how to calculate probabilities for rolling three standard dice. In this case, the two dice are one set, and you must calculate the probability accordingly. This section endeavors to answer the frequently asked question on the probability for any given total over the throw of multiple dice. Find P(sum of 4) when two dice are rolled. A) 1 2 B) 0 C) 1 4 D) 1 3 26). To change the name, type the name for a region of the spinner into the text box. Probabilities are classically determined when their numerical values are based upon an enumeration of every possible outcome. The dice is rolled and the coin is flipped according to the number the die is rolled. The randomness comes from atmospheric noise, which for many purposes is better than the pseudo-random number algorithms typically used in computer programs. Both sum to 7 so they represent two DIFFERENT ways to toss a sum of seven. If there is a different number on each face of the die and no numbers a repeated it is a 1 in 10 chance. The probability of obtaining a number greater than or equal to 4 is a. The probability of landing on an even number is 4 out of 8, or. (b) Use the probability distribution to find the variance of the probability distribution. For instance, a typical cubic dice should give a probability of 1/6 for the face values 1,2,3,4,5 and 6. Find the probability of each outcome when a biased die is rolled, if rolling a 2 or rolling a 4 is three times as likely as rolling each of the other four numbers on the die and it is equally likely to roll a 2 or a 4. So your odds of rolling snake eyes are about 35 to 1. Rather than looking at the probability of rolling specific combinations of dice (as we did in Probability in Games 02), this article is focused on the probability of rolling dice that add up to different sums. What is the probability of getting a 1 and a 3, regardless of order? 7. From a standard deck of cards, one card is drawn. The probability that the total score is a prime number is:. ) In this lab, we are going to look at basic probability and how to conduct basic simulations using R. The more dice you throw, the more this distribution tends towards a normal distribution. The circled percentages are the percentages that worked out exactly as our theoretical probability said they would. Rolling a 1-6 on the first die and 1-6 on the second: _____ 5. Each roll is an independent event. What is the probability of rolling a 7 or 11 when rolling a pair of dice? I need to know what the probability is. Ore18 claims that a gambling rule of the time suggested that, since four repetitions was favorable for the occurrence of an event with probability. The probability is therefore 1/52 x 26/51 = 1/102. What is the probability that the card is black and a jack? P(Black and Jack) P(Black) = 26/52 or ½ , P(Jack) is 4/52 or 1/13 so P(Black and Jack) = ½ * 1/13 = 1/26 A standard deck of cards is shuffled and one card is drawn. Probability A. 21/400 There are 20 marbles in a bag, 3 blue, 5 green, 4 red, 7 white and 1 black. Upon entering these two values, the dice probability calculator will automatically generate the Number of Successes and Probability values. What is the probability of rolling exactly two 4's during five rolls of the dice? Required precision: 1% Question 2 1 pts What is the probability of getting a total of at least two 4's during four rolls of the dice?. Please explain. Probabilities are classically determined when their numerical values are based upon an enumeration of every possible outcome. We could find this probability using independent event and multiplication principle as the probability of getting first outcome either 1 or 3 is 2/6, then the probability of getting second outcome either 1 or 3 is again 2/6. The probability that the second card is black given that the first card is the Ace of Diamonds is 26/51 because 26 of the remaining 51 cards are black. Experimental Probability: Experiment with probability using a fixed size section spinner, a variable section spinner, two regular 6-sided dice or customized dice. 1 Introduction In the real world, variability is everywhere and in everything. With dice rolling, your sample space is going to be every possible dice roll. 05 Consider the experiment of rolling 2 fair 5-sided dice. Two unbiased dice are throws together at random. The event “sum of 6” happens five ways, as shown in Figure 5. 0-100 for a percentage). It would be the probability that the coin flip experiment results in zero heads plus the probability that the experiment results in one head. This will let you easily "roll" the dice thousands of times! Experiment 4: More dice. a) A die is rolled, find the probability that the number obtained is greater than 4. Example 7: A die is rolled, find the probability of getting a 3. For example, if we rolled the dice one by one and rolled in order 3,4,5,6,2, it would be considered as different from if we rolled 2,3,4,5,6 in order. Probability of not getting a 6 6. The probability is therefore 1/52 x 26/51 = 1/102. Let's apply this to the two dice. General Tools. Beginning with rolling single die, young mathematicians graph the results to learn that each number is equally likely to occur. (b) Use the probability distribution to find the variance of the probability distribution. Apply concepts to cards and dice 3. Rolling Dice In 1654, Chevalier de Mere, a French gambler, wrote to Pierre Fermat and Blaise Pascal, two of France's mathematical giants, with a number of problems concerning the odds of particular combinations of numbers occurring, when several dice are rolled. If you do so you will find that the sum is 7 for 6 of the possible outcomes. Use the below Multiple Dice Probability calculator to calculate the possible outcomes. Dice Rolling Probability Figuring out the mathematical probability of rolling two dice is a lot easier than you think. What is the probability that one of the dice has a 4. Exhaustive events. of '1's obtained in throwing of 4 dice. Here we need more information. Use our sample 'Dice Probability Chart. Lots of people think that if you roll three six sided dice, you have an equal chance of rolling a three as you have rolling a ten. For each dice, the probability is (number of favorable cases)/(the total number of all possible cases). What is the probability of rolling exactly two 4's during five rolls of the dice? Required precision: 1% Question 2 1 pts What is the probability of getting a total of at least two 4's during four rolls of the dice?. Because there are 36 possibilities in all, and. To explain, 4-1 means four of one number and one of another. I'm a beginner at Python, and to start off my learning progress I created a simple program which will roll a dice and decides the probability of it. If you want more accuracy, then increase n even more. Let X be the number of 7's rolled with the dice. Here is the sample space. This form allows you to roll virtual dice. Homework Equations If a dice is rolled the outcome can be 1, 2, 3, 4, 5, 6. What is the probability of drawing a green marble and then another green marble without replacing the first one. a pair of dice is rolled. The probability of one dice not being either of two numbers is 4/6, so the probability of both dice fitting this condition is 4/6 x 4/6 = 16/36. If you're going to take a probability exam, you can better your chances of acing the test by studying the following topics.