Question

question 2 of 5 a spinner for a board - game has 8 numbered sections, each with equal central angles, as shown in the figure. if the arrow on the spinner is spun randomly, what is the probability that the arrow will point to a sector whose number is a prime number? a. 1/2 b. 3/8 c. 1/4 d. 5/8

Explanation:

Step1: Identify prime numbers

Prime numbers among 8, 14, 5, 37, 20, 11, 39, 9 are 5, 37, 11.

Step2: Calculate probability

There are 8 total sectors and 3 prime - numbered sectors. Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{3}{8}$.

Answer:

B. $\frac{3}{8}$