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OpenStax, Introductory Business Statistics 2e §3.3 Two Basic Rules of Probability · Exercise 17 · Probability · Counting & chance

Two Basic Rules of Probability · Exercise 17

Roll two fair dice separately. 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(AB)” represents. Find P(AB).
(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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OpenStax, Introductory Business Statistics 2e · §3.3 Two Basic Rules of Probability · Exercise 17

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