Probability

A box contains coupons labelled \(1,2,3,\ldots,99, 100\). Five coupons are picked at random one after another without replacement. Let the numbers on coupons be \(x_1,x_2,\ldots,x_5\). The probability that \(x_1>x_2>x_3\) and \(x_3<x_4<x_5\) is \(\dfrac{a}{b}\), where \(a\) and \(b\) are coprime positive integers. Find \(a+b\).

×

Problem Loading...

Note Loading...

Set Loading...