Question
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.
Answers
Bot
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.
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.