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An urn contains 12 white and 21 black balls. Balls are drawn one by one, with...

An urn contains 12 white and 21 black balls. Balls are drawn one by one, with replacement, until 4 white balls are drawn. Find an expression for the probability that the total number of balls drawn is x.

Math   Statistics-And-Probability   
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Answer #1

Answer:-

Given that:-

An urn contains 12 white and 21 black balls. Balls are drawn one by one, with replacement, until 4 white balls are drawn.

Find an expression for the probability that the total number of balls drawn is x.?

Let X be the number of write balls drawn.

(a) with replacement ,

Hence , expression is

(b) X = no.of white balls

Hence,

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