18. Tó čélébraté the end of both pandemic, the exhausted computer science major Joe Palooka wants to celebrate by going to the upcoming concerts of his two favorite bands, One Direction and Nickelback. Of course, his fellow millennials are also trying to grab these tickets with equal gusto. The chances of Joe successfully getting these tickets are given by the priors P(O) = 0.5, P(N) = 0.3, and P(O ^ N) = 0.2. (A quick mental calculation thus reveals that the events O and N are not independent.) Assuming that Joe manages to get himself a One Direction ticket, what is the probability P(N | 0) of Joe also scoring a Nickelback ticket? (а) 0.3 (b) 0.4 (c) 0.5 (d) 0.6

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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18. To celebrate the end of both the pandemic, the exhausted computer science major Joe Palooka wants to
celebrate by going to the upcoming concerts of his two favorite bands, One Direction and Nickelback. Of
course, his fellow millennials are also trying to grab these tickets with equal gusto. The chances of Joe
successfully getting these tickets are given by the priors P(O) = 0.5, P(N) = 0.3, and P(O ^ N) = 0.2. (A
quick mental calculation thus reveals that the events O and N are not independent.) Assuming that Joe
manages to get himself a One Direction ticket, what is the probability P(N | 0) of Joe also scoring a
Nickelback ticket?
(а) 0.3
(b) 0.4
(c) 0.5
(d) 0.6
Transcribed Image Text:18. To celebrate the end of both the pandemic, the exhausted computer science major Joe Palooka wants to celebrate by going to the upcoming concerts of his two favorite bands, One Direction and Nickelback. Of course, his fellow millennials are also trying to grab these tickets with equal gusto. The chances of Joe successfully getting these tickets are given by the priors P(O) = 0.5, P(N) = 0.3, and P(O ^ N) = 0.2. (A quick mental calculation thus reveals that the events O and N are not independent.) Assuming that Joe manages to get himself a One Direction ticket, what is the probability P(N | 0) of Joe also scoring a Nickelback ticket? (а) 0.3 (b) 0.4 (c) 0.5 (d) 0.6
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