Roll two fair dice. Each die has six

faces.

a. List the sample space.

b. Let A be the event that either a three

or four is rolled first, followed by an even number. Find P(A).

c. Let B be the event that the sum of the

two rolls is at most seven. Find P(B).

d. In words, explain what “P(A|B)”

represents. Find P(A|B).

e. Are A and B mutually exclusive events?

Explain your answer in one to three complete sentences, including numerical

justification.

f. Are A and B independent events? Explain

your answer in one to three complete sentences, including numerical justification.