(See Steps) Roll two fair dice. Each die has six faces. List the sample space. Let A be the event that either a three or four is rolled first, followed

Question: Roll two fair dice. Each die has six faces.

List the sample space.
Let A be the event that either a three or four is rolled first, followed by an even number. Find P ( A ).
Let B be the event that the sum of the two rolls is at most seven. Find P ( B ).
In words, explain what " P ( A | B )" represents. Find P ( A | B ).
Are A and B mutually exclusive events? Explain your answer in one to three complete sentences, including numerical justification.
Are A and B independent events? Explain your answer in one to three complete sentences, including numerical justification.

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(See Steps) Roll two fair dice. Each die has six faces. List the sample space. Let A be the event that either a three or four is rolled first, followed

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