Question

The game show contestant spins a spinner with the letters a through h on it then either an easy or hard question is picked randomly for her. What is the probability that the spinner will stop on the letter f and she is given a hard question?

A) 1/16

B) 1/8

C) 1/32

D) 1/64

Answer 1

The correct probability that the spinner will stop on the letter f and she is given a hard question is 1/16, which means option A is the correct answer.

Step-by-step explanation:

The probability that the game show contestant spins a spinner with the letters a through h and lands on the letter f is 1/8, since there are 8 equally likely outcomes and only one of them is the letter f. Additionally, the probability of being given a hard question is 1/2, as there are only two types of questions, easy or hard, and they are picked randomly. According to the principle of multiplication of probabilities for independent events, to find the combined probability of two independent events happening, you multiply their individual probabilities together.

Thus, the combined probability of the spinner landing on f and getting a hard question is (1/8) × (1/2) = 1/16.