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

Step-by-step 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:

$P(S|H) =\frac{P(S\ and\ H)}{P(H)}=0.20$

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:

$P(S|H) =\frac{P(S)*P(H))}{P(H)}$

$P(S|H) =P(S)$

We know that:

$P(S|H) =0.20$  and $P (S) = 0.15$

$0.20\neq 0.15$

This means that S and H events are dependent.

The answer is the option B