You enter a chess tournament where you probability of win- ning a game is 0.3 against half the players (call them type 1). 0.4 against a quarter of the players (call them type 2), and 0.5 against the remaining quarter of the players (call them type 3). You play a game against a randomly chosen opponent. •What is the probability of losing? •Assuming that you win. What is the probability that you had an opponent of type

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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You enter a chess tournament where you probability of win-
ning a game is 0.3 against half the players (call them type 1). 0.4 against a quarter of
the players (call them type 2), and 0.5 against the remaining quarter of the players (call
them type 3). You play a game against a randomly chosen opponent.
•What is the probability of losing?
•Assuming that you win. What is the probability that you had an opponent of type
2?

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