Final answer:
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.