There are 18 number-tiles in a jar, each marked with a different number from 1-18. 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)

Question

Responses

0.944
0.944

0.722
0.722

0.833
0.833

0.889

Answer 1

0.833

Explanation:
- There are 9 even numbers (2, 4, 6, 8, 10, 12, 14, 16, 18) and 7 prime numbers (2, 3, 5, 7, 11, 13, 17) out of the 18 total numbers.
- However, we must remember that the number 2 is both an even number and a prime number, so we do not count it twice.
- Therefore, there are 9 even numbers + 7 prime numbers - 1 (the number 2) = 15 favorable outcomes.
- The total number of possible outcomes is still 18.
- Thus, the probability of pulling out an even number or a prime number is 15/18 = 0.833.