Four women’s college basketball teams are participating in a single-elimination

Question

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 1.60 to 1.40 and another squad is favored in its contest by odds of 2.50 to 1.50, what is the probability that:

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 1.60 to 1.40 and another squad is favored in its contest by odds of 2.50 to 1.50, what is the probability that:

b. Neither favored team wins its game? (Round your answer to 4 decimal places.)   Probability   

c. At least one of the favored teams wins its game? (Round your answer to 4 decimal places.)   Probability   

Explanation / Answer

b) P(neither favored team wins) = [1.4/(1.6+1.4)] x [1.5/(2.5+1.5)]

= (1.4/3)x(1.5/4)

= 0.175

c) P(at least one of the favored teams wins its game) = 1 - 0.175 = 0.825

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