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The question depends on what the numbers are being rolled on: a hexahedron or some other shape.

Q: What is the probability of rolling a number less than 3 and then rollong a prime number?

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Half

First you need to work out the probability of rolling a prime number. The prime numbers on a die are 2, 3 and 5. Thus the probability of rolling a prime number is 3/6 which can be simplified to 1/2. The probability of rolling a number greater than 1 is 5/6. The probability of rolling one on one dice and one on the other is therefore 1/2 x 5/6 = 5/12. There are two possible ways round these options could come though. You might get the number greater than one on the first roll, and the prime on the second. Thus we need to multiply the probability by 2, which gives us the final answer of 5/6.

2:3

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

The probability is 6/36 or 1/6

Related questions

Half

The probability of rolling an even number on a die is 3 in 6 or 1 in 2. The probability of rolling a prime on a die is 3 in 6 or 1 in 2, but one of those primes is also even. Simply add the probabilities and you find that the probability of rolling an even number or a prime on a die is 5 in 6.

With a standard 6-sided die, the probability of rolling a prime number is 1/2

First you need to work out the probability of rolling a prime number. The prime numbers on a die are 2, 3 and 5. Thus the probability of rolling a prime number is 3/6 which can be simplified to 1/2. The probability of rolling a number greater than 1 is 5/6. The probability of rolling one on one dice and one on the other is therefore 1/2 x 5/6 = 5/12. There are two possible ways round these options could come though. You might get the number greater than one on the first roll, and the prime on the second. Thus we need to multiply the probability by 2, which gives us the final answer of 5/6.

1/6

Since there is only one even prime, 2, the probability of rolling a 2 with one die is 1 in 6.

3/6

2:3

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

The probability is 6/36 or 1/6

5 out of 12

1 in 2.