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.
which statement is true?
o
a. buying socks and buying shoes are dependent events.
o
b. the probability that a customer buys socks and shoes is 0.05.
c. every customer who buys shoes also buys socks.
d. buying socks and buying shoes are independent events.

A. Buying socks and buying shoes are dependent events.

Step-by-step explanation:

We are given that

The probability that a customer buys socks ,P(A)=0.15

The probability that a customer socks given that the customer buys shoes P(A\B)=0.20

The probability that a customer buys shoes,P(B)=1-0.15=0.85

By using formula P(E')=1-P(E)

Where P(E)= Probability of an event that is happened

P(E')=Probability of an event that is not happened

We have to find  for two events

We know that conditional probability of an event when given that the probability of an event B is given

.

Therefore, the two events are dependent .Hence, Buying socks and buying shoes are dependent events.

Therefore, option A is true.