Question

The selection committee of a cricket team has to select a team of players. If the selection is made by using the past records scoring more than $40$ runs in a match, then find the probability of selecting these two players whose performance are given below?
The performance of their last $30$ matches are

Name of the player	More than $40$ runs
Kumar	$20$ times
Kiruba	$12$ times

Answer 1

Total number of matches observed $=30$ i.e., $n=30$

Let $E_1$ be the event of Kumar scoring more than $40$ runs.

$n\left(E_1\right)=20$ i.e., $m_1=20$

Let $E_2$ be the event of Kiruba scoring more than $40$ runs.

$n\left(E_2\right)=12$ i.e., $m_2=12$

$P\left(E_1\right)=\frac{m_1}{n}=\frac{20}{30}$

$P\left(E_2\right)=\frac{m_2}{n}=\frac{12}{30}$

The probability of Kumar being selected is $=\frac{20}{30}=\frac{2}{3}$

The probability of Kiruba being selected is $=\frac{12}{30}=\frac{2}{5}$