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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Probability
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Two persons A and B have equal number of sons. There are three cinema tickets which are to be distributed among the sons of A and B. The probability that all the tickets go to sons of A is $ \large\frac{1}{20}$. The number of sons each of them is :

$\begin {array} {1 1} (1)\;3 & \quad (2)\;4 \\ (3)\;5 & \quad (4)\;6 \end {array}$


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Lt each have $x$ rows
$ \therefore $ Probability that all the tickets go to the rows of A = $ \large\frac{xc_3}{2xc_3}$
$ \Rightarrow \large\frac{x(x-1)(x-2)}{2x(2x-1)(2x-2)}= \large\frac{1}{20}$
$ \Rightarrow x = 3$
Ans : (1)
answered Jan 3, 2014 by thanvigandhi_1

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