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The odds of rolling any number in one roll of one die is 1 in 1. The odds of rolling the same number in one roll of one die is 1 in 6. Each die is unrelated, so the odds of rolling a pair using two dice in one roll is 1 in 1 times 1 in 6, or 1 in 6.

Now, look at the second pair of dice. The odds of rolling any number other than a number on the first pair is 5 in 6. The odds of rolling the same number in one roll of one die is 1 in 6. Each die is unrelated, so the odds of rolling a pair using two dice in one roll, not the pair in the first roll is 5 in 6 times 1 in 6, or 5 in 36.

Now, look at the third pair of dice. The odds of rolling any number other than a number on the first two pairs is 4 in 6. The odds of rolling the same number in one roll of one die is 1 in 6. Each die is unrelated, so the odds of rolling a pair using two dice in one roll, not one of the first two pairs is 4 in 6 times 1 in 6, or 4 in 36.

To compute the total odds of rolling three pairs of numbers using 6 dice, simply multiply these odds together. That is 1 in 6 times 5 in 36 times 4 in 36, or 30 in 7776. Reducing that to lowest common fraction, you get 5 in 1296.

(This calculation assumes that the three pairs are different. If two or three of the pairs are allowed to be the same, the computation is different.)

Q: What are the odds of rolling any three pair of numbers using 6 dice?

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There is a one out of four chance of having both dice even numbers.

Rolling it once there is a 1 out of 6 chance - because there is 6 numbers on a dice and one of them is three. so rolling it twice would be a 2 out of 12 chance / 0.16 / 16% chance

1 in 6. As there are 6 different numbers. 1/6 as a fraction

If the numbers are 1 to 6, there are three prime numbers in that range, a probability of 50%.

1 in 23328

Related questions

The probability of rolling two even numbers on two standard dice is 0.52, or 0.25.

The probability is 5/16 = 0.3125

The probability of of rolling three ones on three dice is (1 in 6)3, or 1 in 216, or about 0.004630.

The answer depends on what you are rolling: three or more ordinary dice, or fewer dice with non-standard numbers on them, or a die with some other shape.

There is a one out of four chance of having both dice even numbers.

Rolling it once there is a 1 out of 6 chance - because there is 6 numbers on a dice and one of them is three. so rolling it twice would be a 2 out of 12 chance / 0.16 / 16% chance

1 in 6. As there are 6 different numbers. 1/6 as a fraction

If the numbers are 1 to 6, there are three prime numbers in that range, a probability of 50%.

1 in 23328

With one roll of three dice, the probability is 7/8.

-4

There is always a 1 in 6 chance of rolling ANY number on a six-sided dice, as there are 6 numbers.