In a major League Baseball Championship series, the first team towin four games

Question

In a major League Baseball Championship series, the first team towin four games win the series. In 2004, the Boston Red Soxbecame the first team in major league history to win fourconsecutive games after losing the first three, when they defeatedthe New York Yankees. Suppose that the Red Sox hadprobability 0.6 of winning each game, and that the games wereindependent.

a) What is the probability that the Yankees would win the firstthree games, and the Red Sox the next four?

b) After the Yankees had won the first three games, what was theprobability that the Red Sox would win the next four?

Explanation / Answer

Just multiply the probabilities together: Y=yankees R=redsox If the odds the red sox would win is .6. The odds thatthe yankees would win is .4 A) YYYRRRR=.4*.4*.4*.6*.6*.6*.6=.008294 B)That is the remainder of the games which isRRRR=.6*.6*.6*.6=.1296

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