Question

A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 4 answer choices -a,b,c,d - and only one correct answer. What is the probability that he answered both of the problems correctly? Do not round your answer

Answer 1

Given:

correct answer = 1.

total of choices = 4.

hence,

Probability of getting one question correct is given by:

`P=(1)/(4)`

then,

Probability that the student answered both of the problems correctly is given by:

`P=(1)/(4)*(1)/(4)=(1)/(8)=0.125`

ANSWER

The probability that the student answered both of the problems correctly is 0.125