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, Introductory Statistics 2e · §3.3 Two Basic Rules of Probability · Exercise 17
No hints for this one.
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