Using a 16-sided number cube what is the probability that you will roll an odd number or an even prime number? Round to three decimals.

1 answer

There are eight odd numbers and eight even numbers on a 16-sided number cube. The even prime numbers on the cube are 2 and 3. Therefore, there are ten numbers that are either odd or an even prime.

The probability of rolling one of these numbers is:

P(odd or even prime) = P(odd) + P(even prime) - P(odd and even prime)

P(odd) = 8/16 = 1/2

P(even prime) = 2/16 = 1/8

P(odd and even prime) = 0 (there are no numbers that are both odd and even prime)

Therefore,

P(odd or even prime) = 1/2 + 1/8 - 0
P(odd or even prime) = 5/8
P(odd or even prime) ≈ 0.625

Rounded to three decimals, the probability of rolling an odd number or an even prime number on a 16-sided number cube is approximately 0.625.