First slide

Theorems of probability

Question

Two persons A and B toss a die one after another. The person who throws 6 wins. If A starts then the probability of his winning is

Moderate

A

$\frac{1}{2}$
B

$\frac{5}{11}$
C

$\frac{6}{11}$
D

$\frac{10}{11}$

Solution

$p = \frac{1}{6}, q = \frac{5}{6}$
$P (A) = p + q p + q^{2} p + - - -$

            $= \frac{p}{1 - q^{2}}$

          $= \frac{\frac{1}{6}}{1 - \frac{25}{36}}$

           $= \frac{6}{11}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App