Question

A survey was conducted on the types of shoes worn by teachers at South Kitsap high school. The Venn diagram below summarizes the findings.A= represents all brown shoesB= represents all tennis shoes/sneakersC= represents all shoes over three years old What is the probability that a randomly selected teacher is wearing brown shoes or tennis shoes/sneakers?Answer Choices:0.450.530.720.80

Answer 1

Okay, here we have this:

Considering the provided information, we are going to calculate the requested probability, so we obtain the following:

So to calculate the probability of the conjunction of two events we will substitute in the following formula:

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Replacing:

P(wearing brown shoes or tennis shoes U sneakers)=(30+58-8)/100

P(wearing brown shoes or tennis shoes U sneakers)=80/100

P(wearing brown shoes or tennis shoes U sneakers)=0.8

Finally we obtain that the probability that a randomly selected teacher is wearing brown shoes or tennis shoes/sneakers is 0.80.

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