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

Question

asked Sep 17, 2020 126k views

1 Answer

Jeel · Answer 1 · 2020-09-22T06:22:27+0000

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