Question

A quick quiz consists of a multiple-choice question with 5 possible answers followed by a multiple-choice question with 5 possible answers. If both questions are answered with random guesses, find the probability that both responses are correct.

Answer 1

Answer:

1/25

Step-by-step explanation:

P of both answers are correct =

P first question is answered correct and P second question is answered correct

in probability,  and = multiplication

P first question is answered correct =1 correct answer/5 possible answers =1/5

P second question is answered correct = 1/5

P of both answers are correct = (1/5) · (1/5) = 1/25