An urn contains 6 blue balls and 3 yellow balls. We consecutivelydraw four balls

Question

An urn contains 6 blue balls and 3 yellow balls. We consecutivelydraw four balls without replacement. a) what is the probability that exactly one of four balls isyellow? b) what is the conditional probability that the first andthird are blue given that the sample drawn contain exactly threeblue balls. a) what is the probability that exactly one of four balls isyellow? b) what is the conditional probability that the first andthird are blue given that the sample drawn contain exactly threeblue balls.

Explanation / Answer

(a) (3*6*5*4)/(9*8*7*6)= 0.119 (b)(6*3*5*2)/(6*5*4*3*3) =0.167

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