On a 8 question multiple-choice test, where each question has

Burhan Hopper

Burhan Hopper

Answered question

2021-09-27

On a 8 question multiple-choice test, where each question has 2 answers, what would be the probability of getting at least one question wrong?
Give your answer as a fraction

Answer & Explanation

FieniChoonin

FieniChoonin

Skilled2021-09-28Added 102 answers

P=12 
The probability that zero answer is wrong is, 
P(0)=8C0p0(1p)80 =(12)0(12)8 =(12)8  =1256 
The probability that at least one question will be wrong would be, 
P(X0)=1P(0) =11256 =255256 
So, the probability that at least one answer will be wrong is 255256.

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