Question

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

Answer 1

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