5.79 Car and phone You want to buy a car and a phone from a selection of 4 models and 6 models, respectively. Supposing all the models are equally likely to be chosen, denote the outcomes of your purchase by (Car, Phone), such as (3, 5)

for the car labeled 3 and for the phone labeled 5.

a. List the sample space of the 24 possible outcomes for all pairs of labels.

b. Let A be the event that you select a car and a phone with the same label. List the outcomes for A and find its probability.

c. Let B be the event that the sum of a pair of labels is 7.

Find P(B).

d. Find the probability of (i) A and B, (ii) A or B, and

(iii) B given A.

e. Are events A and B independent, disjoint, or neither?

Explain.