Probability Question 2
Question 2 - 2024 (01 Feb Shift 2)
Let Ajay will not appear in JEE exam with probability $\mathrm{p}=\frac{2}{7}$, 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 :
(1) $\frac{9}{35}$
(2) $\frac{18}{35}$
(3) $\frac{24}{35}$
(4) $\frac{3}{35}$
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Answer (2)
Solution
$\mathrm{P}(\overline{\mathrm{A}})=\frac{2}{7}=\mathrm{p}$
$\mathrm{P}(\mathrm{A} \cap \mathrm{V})=\frac{1}{5}=\mathrm{q}$
$\mathrm{P}(\mathrm{A})=\frac{5}{7}$
Ans. $P(A \cap \bar{V})=\frac{18}{35}$
