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at a store, the probability that a customer buys socks is 0.15. the probability that a customer buys socks given that the customer buys shoes is 0.20

at a store, the probability that a customer buys socks is 0.15. the probability that-example-1
User Nausheen
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1 Answer

4 votes

Answer: Option B

Explanation:

First we assign a name to the events:

Event S: a customer buys socks

Event H: a customer buys shoes.

We know that :


P (S) = 0.15

We also know that the probability of S given that H occurs is:


P(S|H) =(P(S\ and\ H))/(P(H))=0.20

If two events S and H are independent then:


P (S) * P (H) = P (S\ and\ H)

This mean that if two events S and H are independent then:


P(S|H) =(P(S)*P(H)))/(P(H))


P(S|H) =P(S)

We know that:


P(S|H) =0.20 and
P (S) = 0.15


0.20\\eq 0.15

This means that S and H events are dependent.

The answer is the option B

User Jeel
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