Cue Balls in statistics

timer Asked: Mar 30th, 2015
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Question description

Cue’s Chance

“Take you on at billiards,” said Cue

to Ball.

“Right you are,” said Ball. “We’ll play five games.”

“I ought to beat you, Ball, you know,” said Cue.

“Of course,” said Ball. “You’ll have to give me odds.”

“How do my chances of winning compare with yours?” asked Cue.

“Well,” replied Ball, “I’

ll tell you. Your chance of winning three of the five games and

your chance of winning four of the five games are, according to my calculations, exactly

the same.”

What is the chance (according to Ball’s calculations) that Cue will win all five games?

How could he determine his chances of sweeping the series given any set of calculations

Tutor Answer

New York University

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