First slide

Introduction to probability

Question

A sample space consists of 3 sample points with associated probabilities given as 2p, p², 4p - 1. Then the value of p is

Easy

A

$p = \sqrt{11} - 3$
B

$\sqrt{10} - 3$
C

$\frac{1}{4} < p < \frac{1}{2}$
D

none of these

Solution

$p^{2} + 2 p + 4 p - 1 = 1$ (Exhaustive)
$p^{2} + 6 p - 2 = 0$
$\begin{matrix} or p = - 3 \pm \sqrt{11} \\ = \sqrt{11} - 3 \end{matrix}$

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