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Two ums contain respectively 2 red, 3 white and 3 red, 5 whiteb balls. One ball is drawn at random the first urn and transferred into the second. A ba

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Two ums contain respectively 2 red, 3 white and 3 red, 5 whiteb balls. One ball is drawn at random the first urn and transferred into the second. A ball is now drawn from the second urn and it turns out to be red Find the probabiliy that the transferred ball from first urn was white. Select the correct answer from above options

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`A-> 2R, 3W` `B-> 3R, 5W` Case- I: `P(R) = 2/5` `P(R_B) = 4/9` Case-II :`P(W_A) = 3/5` `P(R_B)= 3/9 = 1/3` `P(A_W/R) = (P(A_W)*P(B_R/A_W))/(P(A_W)*P(B_R/A_W) + P(A_R)P(B_R/A_R) ` `= (3/5 xx 1/3)/(3/5 xx 1/3 + 2/5 xx 4/9 )` `= (3/15)/((9/45 + 8/45) ` `= 2/(15 xx 17) = 6/17` Answer

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