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Classical Definition of Probability

There are n h...

Question

There are n hose pipes lying on the floor. 2 boys decide to hold the pipe from any 1 of the end. The probability that they end up holding the ends of the same pipe is $\frac{1}{101}$ . Find the value of n?

A

202

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B

51

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C

100

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D

101

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Solution

The correct option is B
51

Total number of ends:2n

One boy holds 1 end.2n-1 ends are leftout of which only 1 will give the required result

$\frac{1}{(2 n - 1)} = \frac{1}{101}$

2n=102

n=51

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