Teams UCSD and UCLA are playing a league game. Team UCLA will win with a probability 0.3 and team UCSD will win with a probability 0.7. Team UCB's qualification to the knockout stage depends on the outcome of this game. They will qualify with a probability 0.1 if team UCLA wins and with a probability 0.8 if team UCSD wins. Given team UCB did qualify to the knockout stage, what is the probability that team UCLA won the league game? Answer correct to 2 decimal places.

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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Teams UCSD and UCLA are playing a league game. Team UCLA will win with a probability 0.3
and team UCSD will win with a probability 0.7. Team UCB's qualification to the knockout stage
depends on the outcome of this game. They will qualify with a probability 0.1 if team UCLA
wins and with a probability 0.8 if team UCSD wins. Given team UCB did qualify to the
knockout stage, what is the probability that team UCLA won the league game? Answer correct
to 2 decimal places.
Transcribed Image Text:Teams UCSD and UCLA are playing a league game. Team UCLA will win with a probability 0.3 and team UCSD will win with a probability 0.7. Team UCB's qualification to the knockout stage depends on the outcome of this game. They will qualify with a probability 0.1 if team UCLA wins and with a probability 0.8 if team UCSD wins. Given team UCB did qualify to the knockout stage, what is the probability that team UCLA won the league game? Answer correct to 2 decimal places.
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