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 1.30 to 1.70 and another squad is favored in its contest by odds of 2.20 to 1.80, 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 1.30 to 1.70 and another squad is favored in its contest by odds of 2.20 to 1.80, what is the probability that:

Explanation / Answer

what is the probability that both favored teams win their games?

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 1.30 to 1.70

P (win) = 1.30 / (1.3+1.70) = 0.43

P(lose) = 1 - 0.43 = 0.57

and another squad is favored in its contest by odds of 2.20 to 1.80

P(win) = 2.20 / (2.20+1.80) = 0.55

P(lose) = 1 - 0.55 = 0.45

Probability that both tems win their games is 0.55 * 0.43 = 0.2365

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