Let Ajay will not appear in JEE exam with probability p =2 7 , while both Ajay and Vijay will appear in the exam with probability q =1 5 . Then the probability, that Ajay will appear in the exam and Vijay will not appear is :

Let Ajay will not appear in JEE exam with probability p =2 7 , wh…

MCQ

Let Ajay will not appear in $\ce{JEE}$ exam with probability $p =\frac{2}{7}$, while both Ajay and Vijay will appear in the exam with probability $q =\frac{1}{5}$. Then the probability, that Ajay will appear in the exam and Vijay will not appear is :

A
$\frac{9}{35}$
B
$\frac{18}{35}$
C
$\frac{24}{35}$
D
$\frac{3}{35}$

✓

Answer

$P(\overline{A})=\frac{2}{7}=p$
$P(A \cap V)=\frac{1}{5}=q$
$P(A)=\frac{5}{7}$
Ans. $P ( A \cap \overline{ V })=\frac{18}{35}$

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