There are 16 number-tiles in a jar, each marked with a different number from 1–16. If you pull out one tile at random, what is the probability that the number you pull will be an even number or a prime number?

Question

There are 16 number-tiles in a jar, each marked with a different number from 1–16. If you pull out one tile at random, what is the probability that the number you pull will be an even number or a prime number?
(1 point)
Responses

0.063
0.063

0.813
0.813

0.219
0.219

0.875

GPT 3.5 · Answer

0.813

Explanation:
There are 8 even numbers (2, 4, 6, 8, 10, 12, 14, 16) and 6 prime numbers (2, 3, 5, 7, 11, 13) between 1-16. However, 2 is both an even number and a prime number so it is only counted once. Therefore, there are 8 + 6 - 1 = 13 numbers that are either even or prime. The probability of choosing one of these numbers is 13/16, which is approximately 0.813.