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# Roll two fair dice. Each die has six faces 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).

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.

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