The urn contains 2 white and 2 black balls.A ball is drawn at random.If it is white,it is not replaced into urn.Otherwise,it is replaced with another ball of the same colour.The process is repeated.Find probability that third ball drawn is black

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yaswanth · Answer

First we have to check all possible cases.for the third ball to be black,first ball can be white or black.second ball can be white or black. case..1:first white second white third black 2c1.1c1.2c1=4 case:2 :first white second black third black 2c1.2c1.2c1=8 case 3:first black second white third black 2c1.2c1.2c1=8 case 4:first black second black third black 2c1.2c1.2c1=8 Favourable cases =4+8+8+8=28 Probability =Favourable cases/total cases=28/44=7/11 if we have to add another black if black is drawn then answer is different but it follows same procedure.actually the question doesn't have clarity in this case

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The urn contains 2 white and 2 black balls.A ball is drawn at random.If it is white,it is not replaced into urn.Otherwise,it is replaced with another ball of the same colour.The process is repeated.Find probability that third ball drawn is black

The urn contains 2 white and 2 black balls.A ball is drawn at random.If it is white,it is not replaced into urn.Otherwise,it is replaced with another ball of the same colour.The process is repeated.Find probability that third ball drawn is black

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