Probability of rolling the same number 3 times Dec 31, 2016 · If "rolling the same number three times" means "choose a number, then roll it three times in a row" then the probability of success is $\left(\frac16\right)^3. Aug 26, 2020 · The probability to have the same number on the two dice is the probability that the second die gives the same number as the first die (whatever this number is). What am I Mar 9, 2015 · The first roll can be any number (probability of rolling a number $1-6$ is equal to $1$, and then the probability of rolling that particular number on the second roll is $\frac 16$ for overall probability of rolling the same number twice being $1/6$. $ Aug 12, 2024 · Probability of getting 6 three times in a row = probability of getting 6 first time × probability of getting 6 second time × probability of getting 6 third time. Each of these outcomes has probability $({1\over6})^3$. If you were to have six differently coloured dice, then indeed "all six come up 5" is the same probability as "red = 1, blue = 2, green = 3, orange = 4, black = 5, white = 6". Wouldn't probability of getting three $2$'s and getting all the same numbers be $\left(\dfrac 16 \right)^3$ since its uniform. How do I calculate conditional probability? To compute the conditional probability of A under B : Mar 23, 2023 · The ratio of the number of favorable outcomes to the number of possibilities is the probability. 3), the probability of both happening is 0. 25·10-4 in scientific notation). 3 times the same number in both dice? My attempt: For the first draw of 2 dice together, the sample space has 36 possible outcomes and the ones with the same number in both dice are $(1,1), (2,2)(6,6)$ so a total of 6. Probability of getting 6 three times in a row = (1/6) × (1/6) × (1/6) = 1/216. Question 1: A dice is rolled 2 times. e. Aug 21, 2016 · What is the probability of rolling any 2 numbers 50% of the time within 10 dice rolls (each time rolling one die/dice)? What is the probability of rolling a specific number (e. Jul 4, 2022 · $\begingroup$ The factor of $2\binom{6}{2}\binom{6}{3}$ is twice the number of arrangements in which two numbers each appear three times. What is the probability of getting 3 "doubles", i. com It's just $({1\over6})^2$ It's the probability that the second roll is the same as the first (1/6) multiplied by the probability that the third roll is the same as the second (1/6). Let me explain with an example. Similar Questions Feb 28, 2016 · Multiplying this together gives $\frac1{6^3}$ for the probability that all dice are a 1. | Since we don't care what the outcome of the first roll is, its probability is 1. The second roll of the dice has to match the outcome of the first, so that has a probability of 1/6. Apr 14, 2020 · I know that the probability of getting the 3 dice to be of the specific same number in a 3 dice roll is (1/6)*(1/6)*(1/6) = 1/216. Dec 6, 2016 · If each roll is independent of each other (which from your description it sounds like it is), then the probability of rolling the number-5 3 times <5,5,5> is $$ \frac{1}{6}\cdot\frac{1}{6}\cdot\frac{1}{6}= \frac{1}{216} $$ Note that any other permutations also has this probability. Apr 28, 2022 · What is the probability of rolling the same number when three number cubes are rolled? The first roll doesn't matter for probability, it just sets the number to be rolled by the other two. This is because each face is equally likely to land face up. So it's six times more likely. So it is equal to the probability of getting a given number with one die, so it is $$\frac{1}{6}$$ Oct 3, 2017 · The probability of rolling a $20$-sided die three times and getting three $20$ s is $$ \left(\frac1{20}\right)^3=\frac1{8000} $$ If we were to roll the die three times and compare the triple rolled with $(20,20,20)$, it would, on average, take $8000$ of these triples to get the triple $(20,20,20)$. Nov 18, 2014 · Im trying to figure out what the probability of rolling a dice and getting exactly two of the same numbers after we throw the dice n times is? The chance to get some number is 1/6 and getting that same number two times in a row must be 1/36, but with this calculation we don't take into account that we throw the dice n times which would increase What is the probability of rolling one or more 6's using 3 six sided dice (16) that are rolled three times? How does multiple rolls influence the probability, is it simply 3 times the probabili Apr 17, 2017 · What is the probability of rolling the same number two times in a row? 1: 2/6 2: 1/36 3: 0 4: 1/6 Selection: 2 | You're closeI can feel it! Try it again. Thank you So I know that rolling a fair six-sided die twice would mean the total possible outcomes would be 36, and rolling the same number twice would be 2/36 or 1/18, but I feel like that's wrong. However, OP isn't interested in which number is rolled each time, just that they are the same. Hence, the probability of getting 6 three times in a row is 0. Jan 11, 2025 · If we consider three 20-sided dice, the chance of rolling 15 on each of them is: P = (1/20) 3 = 0. We have the same chance $\left(\frac1{6^3}\right)$ of rolling three 2s, three 3s, three 4s, three 5s, or three 6s, so the probability of rolling any number on all three dice at the same time is $6\cdot\frac{1}{6^3}$, or $\frac1{36}$. For example, if the probability of A is 20% (0. 06 = 6%. 0046%. And if you are interested in rolling the set of any identical values — not just three 15s, but three of any number — you simply multiply the result by the total die faces: P = 0. . I'm hopeless at probability. 000125 · 20 Aug 8, 2024 · Answer: The probability of rolling the same number on 3 dice=1 × (1/6) × (1/6) = 1/36. 000125 (or P = 1. For example, <1,2,1> or <5,6,2>. Jan 20, 2012 · The probability of rolling any number on a die is 1/6, as there are six possible outcomes (numbers 1-6) and each has an equal chance of occurring. $\endgroup$ – Jul 3, 2022 · The probability of rolling $3$ dice and getting $2$ to be the same number $$=\frac{|E|}{|S|}= \frac{6 \cdot 5 \cdot 3!}{6^3}$$ The first $6$ is for having $6$ different possible choices of our target(AAX results), $5$ is for $5$ possible choices for the non-pair number and $3!$ is the number of possible ways to order the three numbers we rolled This felt incredibly unlikely to happen. Example Questions on Dice Rolling Probability. Rolling any number on a dice three times in a row is equal to the number of throws 1/6^3*6 = 1/36, where 3 represents the number of throws and 6 is the number of different ways to get three of the same number (e. g. $$1 - \bigg(1 - \frac{1}{20}\bigg) \bigg(1 - \frac{1}{20}\bigg) \bigg(1 - \frac{1}{20}\bigg) = 1 - \frac{19^3}{20^3}$$ That is one in twenty is the probability of rolling two of the same number in two dice, and then simply sub it into the formula for the probability of at least one of three unrelated events occurring. Feb 14, 2017 · How do I find the probability of not rolling the same number exactly 4 times in a row when I roll a die 10 times? How do I use complementary counting for this if it is the best method? Jan 14, 2021 · We throw 2 fair dice together 6 times. P(rolling 1) * P(rolling 2) = 1/10 * 1/10 = 1/100. 463%. Aug 7, 2024 · Answer: Probability of rolling 1 on a dice three times in a row = probability of getting 1 first time × probability of getting 1 second time × probability of getting 1 third time = (1/6) × (1/6) × (1/6) = 1/216. I've I compared this to rolling a fair die three times. Probability of Rolling a Specific Number As mentioned, the probability of rolling any specific number on a single die is $$\frac{1}{6}$$ 6 1 . The desired outcomes are $(1,1,1)$, $(2,2,2)$, ,$(6,6,6)$. What is the probability of getting same numbers? Solution: A dice is rolled 2 times. What is the probability of getting the same specific number for 3 dice in a 5 dice roll? Do we calculate that with adding the probabilities for 3 of the same dice with 4 and 5 of the same dice together? Jan 10, 2024 · First Dice = 3, Second Dice = 1, Third Dice = 1; We can create the following chart to visualize the probability that the sum of the three dice is equal to a particular number: We can see that the probability distribution is symmetrical. Jan 16, 2013 · $\begingroup$ This is the probablity of rolling one specific number and then rolling another specific number. See full list on gigacalculator. 2 × 0. It is to predict how likely the events will occur or the event will not occur. 1, 1, 1 2, 2, 2 3, 3, 3…). That is what we want to subtract since those patterns are counted twice among the $\binom{6}{1}\binom{6}{3}5^3$ arrangements in which a number appears three times, and we don't want to count such arrangements at all. Explanation: Probability is a part of math that deals with the possibility of happening random events. What is the probability of rolling the same number three times in a row? The probability of rolling the same number three times in a row is 1/216, or approximately 0. So: P(rolling the same number three times) = P(rolling a particular number)2 = (1/6)2 = 1/36 Mar 20, 2014 · You're rolling $3$ dice each with $8$ sides. 5) 50% of the time within 10 dice rolls? (each time rolling one die/dice) Looking forward to your answers. $ If it means merely that the three rolls should all be the same as each other, then the probability is much higher: $\left(\frac16\right)^2. Or, think of it this way. 3 = 0. Whats the probability I'll get all $2$'s, the probability I get all the same numbers and the probability that my first two numbers are the same. 2) and the probability of B is 30% (0. So, number of possible outcomes are 6² = 36 Nov 24, 2021 · So there are six ways of doing this. Can anyone calculate the actual odds of three people using standard, 6 sided dice rolling the same number, twice in a row? I know a die rolling any given number is 1/6, but I can't extrapolate from there. e. For the first die, you want to list the number $1$ and for the other two dice, you want to list the number $1\over 8$ and then multiply every number to get $1\times{1\over 8}\times{1\over 8}={1\over 64}$. The most likely sum of the three dice is 10 or 11 while the least likely sum of the three dice is 3 or 18. mrrgln msf rds fpkv hnhng dhubl zqbcri rwkee ddpta cezaze