in an urn you can find three black and five white marbles In

in an urn you can find three black and five white marbles. In another urn there is six black and three white marbles. Two marbles are randomly taken from each urn. Find the probability for \"equal numbers of black marbles\"

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Solution

The probability of getting equal no of black marbles = P(getting 1-1 black marble from each + getting 2-2 black marble from each) = (3C1*5C1*6C1*3C1)/(8C2*9C2) + (3C2*6C2)/(8C2*9C2) = 0.268 + 0.044 = 0.312