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We'll assume standard six-sided dice.
The first die rolls... well, whatever it rolls. It doesn't really matter what the specific number is.
The second die can come up any of six different ways. One of those ways is with the same number as the first, the other five are different.
So the chances of rolling two dice and getting the same number on both is 1/6.
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What is the probability of rolling the same number when two dice are rolled?
1/6
Three dice are tossed what is the probability that the same number appears on exactly two of the three dice?
The probability is 90/216 = 5/12
What are the odds of rolling 5 of akind with 5 dice?
The odds of rolling 5 of a kind with 5 dice can be calculated using the concept of probability. There are a total of 6^5 (7776) possible outcomes when rolling 5 dice. To roll 5 of a kind, there are 6 ways to roll a specific number on the first die, and only 1 way to roll that same number on the remaining 4 dice. Therefore, there are 6 * 1 = 6 ways to roll 5 of a kind. The probability of rolling 5 of a kind with 5 dice is then calculated as 6/7776, which simplifies to 1/1296 or approximately 0.077%.
If you have 3 fair dice each numbered 1 to 6 what is the chance all three dice show even numbers?
Probability is 1/8 or 0.125 or 12.5% Explanation: A fair dice with six sides (numbers) has a probability of 1/2 of rolling an even number. Note: 1/2 = 3/6, where the dice has 3 even numbers out of six total sides. The probability of three same dice all roll an even number is the probability of one of these (1/2) to the power 3, or (1/2) * (1/2) * (1/2) which equals 1/8.
What is the theoretical probability of not rolling a 2?
1/6= 2 because there is only one 2. Therefore the theoretical probability of not rolling a two is the same as everything but two so 5/6.
