jee-main 2024 Q80

jee-main · India · session1_01feb_shift2 Conditional Probability Direct Conditional Probability Computation from Definitions

Let Ajay will not appear in 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:
(1) $\frac{9}{35}$
(2) $\frac{18}{35}$
(3) $\frac{24}{35}$
(4) $\frac{3}{35}$

Let Ajay will not appear in 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:\\
(1) $\frac{9}{35}$\\
(2) $\frac{18}{35}$\\
(3) $\frac{24}{35}$\\
(4) $\frac{3}{35}$

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