The probability that a particular salesman will leave his sunglasses behind in any store is 1/5. Suppose the salesman visits two

Question

3 years ago

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The probability that a particular salesman will leave his sunglasses behind in any store is 1/5. Suppose the salesman visits two

stores in succession and leaves his sunglasses behind in one of them. What is the probability that the salesman left his sunglasses in the first store?

Mathematics

1 answer:

KatRina [158] · Answer 1 · 2022-12-11T23:12:58+03:00

Probabilities are used to determine the chances of events

The probability that the salesman left his sunglasses in the first store is 0.16

<h3>How to calculate the probability</h3>

The given parameter is:

p = 1/5 ---- the probability that he left his sunglass

The probability that he did not leave his sunglass would be:

q= 1- 1/5

Evaluate the difference:

p = 4/5

So, the probability that the salesman left his sunglasses in the first store is:

Pr = 1/5 * 4/5

Evaluate the product

Pr = 4/25

Express as decimal

Pr = 0.16

Hence, the probability that the salesman left his sunglasses in the first store is 0.16