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:

$P=\frac{1}{4}$

then,

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

$P=\frac{1}{4}\times\frac{1}{4}=\frac{1}{8}=0.125$

ANSWER

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