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(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.
Its source prints no answer for this problem, so there's nothing to check against.
OpenStax, Statistics · §3.3 Two Basic Rules of Probability · Exercise 17
No hints for this one.
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