Using a sixteen-sided number cube, what is the probability that you will roll an even number or an odd prime number? The number 1 isn't an odd prime. Round to three decimals.
A. 0.188
B. 0.813
C. 0.219
D. 0.156
First, let's count the even numbers and odd prime numbers on a sixteen-sided number cube:
Even numbers: 2, 4, 6, 8, 10, 12, 14, 16 (8 numbers)
Odd prime numbers: 3, 5, 7, 11, 13 (5 numbers)
Total favorable outcomes = 8 (even numbers) + 5 (odd prime numbers) - 2 (numbers that are both even and odd prime, i.e., 2) = 11
Total possible outcomes on a sixteen-sided number cube = 16
Probability = Favorable outcomes / Total outcomes = 11 / 16 ≈ 0.688
Rounded to three decimals, the probability is 0.688, which is closest to option B: 0.813.