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Fundamentals of Probability, with Stochastic Processes | 3rd Edition | ISBN: 9780131453401 | Authors: Saeed Ghahramani
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A box contains 18 tennis balls, of which eight are new.

Chapter , Problem 19

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QUESTION:

A box contains 18 tennis balls, of which eight are new. Suppose that three balls are selected randomly, played with, and after play are returned to the box. If another three balls are selected for play a second time, what is the probability that they are all new?

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QUESTION:

A box contains 18 tennis balls, of which eight are new. Suppose that three balls are selected randomly, played with, and after play are returned to the box. If another three balls are selected for play a second time, what is the probability that they are all new?

ANSWER:

Step 1 of 5

The total number of balls contains in a box is 18, of which eight are new.

Implies that if from total of 18 balls, eight are new then 10 balls must be old.

Now, suppose three balls are selected randomly then these three balls are from new balls or old balls.

And after selected three balls, then the balls returned to the box.

Next three balls are selected for play in second time, all are new.

Therefore, four cases will arise and in each case three balls are selected from total of 18 balls.

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