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There are 36 possible outcomes when we roll a pair of dice. Rolling a five can be done the following ways: 3-2, 4-1, 2-3 and 1-4. That's four ways to roll a five with one roll of the dice. The odds of rolling a five are 4 in 36, or 1 in 9. That makes the probability of rolling a five equal to 0.11111....

We know that the probability of something is a ratio of the number of times it can be done to the total number of things that are possible. Probabilities range from zero to one, inclusive. If something has a probability of zero, it cannot happen. Like rolling a 13. A 13 cannot be rolled with one roll of a pair of standard dice. Thus the probability of rolling a 13 is zero, as it cannot happen.

If something has a probability of one, it must happen. Like the probability of rolling an odd or an even number with one roll of a pair of dice. Since any number we roll must be either odd or even, then the probability of rolling an odd or an even number with one roll of a pair of dice is one. An odd or an even number must turn up, and that is why the probability of rolling an odd or an even number with one roll of the dice is one. Lastly, we've seen that the probability of rolling a given number with one roll of the dice is the number of times that number might appear divided by the total number of possibilities that might appear.

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Q: What is the probability of rolling a five with a pair of dice?

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The probability is 1/36.

It is 0.69444... recurring.

The probability of rolling two fives on a pair of dice is 1 in 36, or about 0.02778.

11/12

5 over 11

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The probability is 1/36.

It is 0.69444... recurring.

The probability of rolling two fives on a pair of dice is 1 in 36, or about 0.02778.

11/12

5 over 11

The probability of rolling 7 once with two dice is 1 in 6, o 0.1667. The probability, then, of doing that twice in a row is 1 in 36, or 0.02778.

It is 6/36 = 1/6.

It is 5/18.

The probability of rolling two prime numbers on a standard pair of dice is 1 in 4, or 0.25. Take the probability of rolling a prime on one die, 3 in 6, or 1 in 2, or 0.5, and square it.

The probability of rolling a sum of 8 on one roll of a pair of dice is 5/36.The probability of not rolling a sum of 8 on one roll of a pair of dice is 31/36.The probability of rolling a sum of 8 twice on two rolls of a pair of dice is(5/36)(5/36) = (5/36)2 .The probability of rolling first a sum of 8 and then rolling a sum that is not 8 on thesecond roll is (5/36)(31/36).The probability of rolling a sum that is not 8 on the first roll and rolling a sum of 8in the second roll is (31/36)(5/36).So The probability of rolling a sum of 8 at least one of two rolls of a pair of dice is(5/36)2 + (5/36)(31/38) + (31/36)(5/36) = 0.258487654... ≈ 25.8%.

There is one way to roll a sum of 12. There are 36 different outcomes from rolling a pair of dice. Therefore, the probability is 1/36 ~= 0.0278 = 2.78%

6/36 which is equal to 1/6

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