Question

What is the probability that the score on the 6-sided die is prime and the sum of scores on the two tetrahedron dice is even?

A. 1/8
B. 1/12
C. 1/4
D. 1/6

Answer 1

The probability of rolling a prime number on a 6-sided die and getting an even sum on 2 tetrahedron dice is 1/4.

Step-by-step explanation:

To find the probability that the score on the 6-sided die is prime and the sum of scores on the two tetrahedron dice is even, we need to calculate the individual probabilities and then multiply them together.

Step 1: Prime numbers on a 6-sided die are 2, 3, and 5. So, the probability of rolling a prime number is 3/6 or 1/2.

Step 2: The sum of scores on the two tetrahedron dice will be even only if both dice show even numbers. The probability of rolling an even number on each die is 1/2.

To find the probability of both events happening, we multiply the probabilities: (1/2) * (1/2) = 1/4.

Therefore, the probability is 1/4, which corresponds to option C.