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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.

User Bkurzius
by
6.7k points

2 Answers

0 votes

Answer:

0.267

Step-

by-step e0.267xplanation:

User Ahoxha
by
6.9k points
3 votes

Answer:

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

User Sajith Silva
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6.8k points