QuestionWhat is the probability that both of two randomly chosen students wear glasses if of students do? Round to three decimal places.
Studdy Solution
STEP 1
Assumptions1. The probability of a student wearing glasses is20% . The two students are chosen independently of each other
STEP 2
First, we need to understand that the probability of two independent events both happening is the product of their individual probabilities.
The formula for the probability of two independent events A and B both happening is
STEP 3
In this case, event A is the first student wearing glasses and event B is the second student wearing glasses. Since the students are chosen independently, the probability of each student wearing glasses is the same,20%.
So we can write the formula as
STEP 4
Calculate the probability.
The probability that both students wear glasses is0.04, or4% when expressed as a percentage.
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