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Battling for the nba eastern conference championship

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The Knicks and the Caveliers are battling for the NBA Eastern Conference Championship in a "best of 7 series" (need to win 4 games). Most experts suggest that the Caveliers should win about 55% of the individual games they play against the Knicks (overall -disregard any home court advantage).

NOTE: in a "best of 7 series", you only play until one team wins 4 games (i.e. you may play a total of 4, 5, 6 or 7 games depending on who wins or loses)

a) What is the probability the Caveliers will "sweep" the series (win in 4 games)?

b) What is the probability the Caveliers will win in exactly 7 games?

c) What is the probability the Knicks win exactly 1 game?

d) What is the probability the Knicks win the series?

Reference no: EM131803972

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