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Two friends A and B have equal number of daughters. There are three cinema tickets which are to be distributed among the daughters of A and B. The probability that all the tickets go to daughters of A is 1/20. The number of daughters each of them have is:

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answer is D.

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Detailed Solution

Let each of the friend have x daughters. Then the probability that all the tickets go to the daughters of A is

$\frac{^{x} C_{3}}{^{2 x} C_{3}} . Therefore \frac{^{x} C_{3}}{^{2 x} C_{3}} = \frac{1}{20} \Rightarrow x = 3 .$

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