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# What is the probability of getting a sum less than five when rolling dice?

Updated: 11/1/2022

Wiki User

12y ago

There are 36 permutations of two dice. Of these, 6 have a sum less than five, 1+1, 1+2, 1+3, 2+1, 2+2, and 3+1. The probability, then, of rolling a sum less than five on two dice is 6 in 36, or 1 in 6, or about 0.1667.

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12y ago

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Q: What is the probability of getting a sum less than five when rolling dice?
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### What are the probabilities of rolling a a five with one dice?

Rolling the dice once will result in any one of the six numbers having the same probability of being up. The probability of getting a '5' = 1/6, the same as getting a '1.' ============================

### What is the probability of not rolling sum of 6 with two fair dice?

The probability of not rolling a sum of six with two fair dice is 1 minus the probability of rolling a sum of six. There are 36 permutations of rolling two dice. Of these, five sum to six, 1+5, 2+4, 3+3, 4+2, and 5+1. The probability, then of rolling a sum of six is 5 in 36. The probability, then of not rolling a sum of six is 31 in 36, or about 0.8611.

### What is the probability of getting a number under five?

There is insufficient information in the question to properly answer it. "Getting a number under five doing what?" rolling dice? turning a spinner? drawing a card? Please restate the question.

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

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.

### Which is bigger the probability of 2 fours or the probability of 1 five or 1 six?

It depends upon how you are picking these numbers. Let's say you are rolling two dice. The probability of rolling 2 fours is 1 in 36. The probability of exactly 1 five is 10 in 36, while the probability of at least 1 five is 11 in 36. The probability of exactly 1 six is 10 in 36, while the probability of at least 1 six is 11 in 36. The probability of at least 1 five or 1 six is 19 in 36. The probability of exactly 1 five or six is 15 in 36. So no matter how you look at it, with dice rolling, the probability of 1 five or 1 six is bigger than the probability of 2 fours. However, if you are picking numbers from a hat, then the probabilities are different.