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Three urns A, Band C contain 6 red and 4 white, 2 red and 6 white, and 1 red and 5 white balls respectively. An um is chosen at random and a ball is drawn. If the ball drawn is found to be red, find the. probability that the ball was drawn from the urn A. |
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Answer» <P> `P(E_1)=P(E_2)=P(E_3)=1/3` `P(E/E_1)=6/10,P(E/E_2)=2/8,and P(E/E_3)=1/6`. Required probability `=P(E_1/E)` `=(P(E_1)XXP(E/E_1))/(P(E_1)xxP(E/E_1)+P(E_2)xxP(E/E_2)+P(E_3)xxP(E/E_3))` `=((1/3xx6/10))/((1/3xx6/10)+(1/3xx2/8)+(1/3xx1/6))=36/61`. |
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