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Two balls are drawn at random from an urn containing three white and nine red balls....

Two balls are drawn at random from an urn containing three white and nine red balls. Recall the equation for? C(n, r) given below. Upper C left parenthesis n comma r right parenthesis equals StartFraction n left parenthesis n minus 1 right parenthesis left parenthesis n minus 2 right parenthesis times times times left parenthesis n minus r plus 1 right parenthesis Over r exclamation mark EndFraction ?(a) Use combinations to compute the probability that both balls are white. ?(b) Compute the probability that both balls are red.

Math   Statistics-And-Probability   
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Answer #1

Solution: ?(a) Use combinations to compute the probability that both balls are white.

Answer: Let X be the number of white balls.

The probability that both balls are white is given below:

  

Therefore, the probability that both balls are white is

?(b) Compute the probability that both balls are red.

Answer: Let X be the number of red balls.

The probability that both balls are red is given below:

  

Therefore, the probability that both balls are red is

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