Question

Van guessed on all 8 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that he got exactly 1 question correct? Round the answer to the nearest thousandth.

Answer 1

0.267

Step-

by-step e0.267xplanation:

Answer 2

0.267

Explanation:

Van guessed on all 8 questions of a multiple-choice quiz.

Each question has 4 answer choices.

What is the probability that he got exactly 1 question correct.

Probability of right answer=1/4

Probability of wrong answer=3/4

Probability he got only 1 answer right=

Probability first is right all other are wrong+probability second is right all other are wrong+...+probability last question is right all other are wrong

=
`8* (1)/(4)* (3)/(4)* (3)/(4)* (3)/(4)* (3)/(4)* (3)/(4)}* (3)/(4)* (3)/(4)`

= 0.267