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(D) Let $E$ be the event that the spokesperson is a male and $F$ be the event that the spokesperson is over $35$ years of age.The total number of pers

Vedclass · Accepted Answer

$\frac{4}{5}$

Vedclass · Answer

(D) Let $E$ be the event that the spokesperson is a male and $F$ be the event that the spokesperson is over $35$ years of age.The total number of persons is $5$.The males are Harish,Rohan,and Salim. So,$P(E) = \frac{3}{5}$.The persons over $35$ years are Sheetal $(46)$ and Salim $(41)$. So,$P(F) = \frac{2}{5}$.The person who is both male and over $35$ years is Salim. So,$P(E \cap F) = \frac{1}{5}$.Using the addition theorem of probability,$P(E \cup F) = P(E) + P(F) - P(E \cap F)$.$P(E \cup F) = \frac{3}{5} + \frac{2}{5} - \frac{1}{5} = \frac{4}{5}$.Thus,the probability that the spokesperson is either male or over $35$ years is $\frac{4}{5}$.

$S.No.$	Name	Sex	Age in years
$1.$	Harish	$M$	$30$
$2.$	Rohan	$M$	$33$
$3.$	Sheetal	$F$	$46$
$4.$	Alis	$F$	$28$
$5.$	Salim	$M$	$41$

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