SOLUTION: Four women’s college basketball teams are participating in a single-elimination holiday basketball tournament. If one team is favored in its semifinal match by odds of 2.00 to 1.00

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Question 947717: Four women’s college basketball teams are participating in a single-elimination holiday basketball tournament. If one team is favored in its semifinal match by odds of 2.00 to 1.00 and another squad is favored in its contest by odds of 3.00 to 1.00, what is the probability that:
a) neither favored team wins its game?
b)at least one of the favored team wins its game?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Four women’s college basketball teams are participating in a single-elimination holiday basketball tournament. If one team is favored in its semifinal match by odds of 2.00 to 1.00
p(win) = 2/3 ; p(lose) = 1/3
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and another squad is favored in its contest by odds of 3.00 to 1.00
p(win) = 3/4 ; p(lose) = 1/4
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, what is the probability that:
a) neither favored team wins its game?
Ans:: P(both lose) = (1/3)(1/4) = 1/12
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b)at least one of the favored team wins its game?
Ans: P(at least one wins) = 1 - p(both lose) = 11/12
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Cheers,
Stan H.
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