Answer:
0.96875 = 96.875% probability that when guessing, a student will get at least one question correct.
Step-by-step explanation:
For each question, there are only two possible outcomes. Either it is guessed correctly, or it is not. Thus, the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
A true/false pop quiz contains five questions.
This means that 
True/false questions:
So 2 possible options, and 
What is the probability that when guessing, a student will get at least one question correct?
This is 
In which


Then

0.96875 = 96.875% probability that when guessing, a student will get at least one question correct.