A true/false pop quiz contains five questions. What is the probability that when guessing, a student will get at least one question correct

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.

$450 is the answer.

step-by-step explanation:

30% of 450 = 135

450-135=315