JEE Main 2022 (26 Jul, Shift 1) Maths Q17: Probability

Question

Let $\mathrm{E}_1$, $\mathrm{E}_2$, $\mathrm{E}_3$ be three mutually exclusive events such that $\mathrm{P}(\mathrm{E}_1) = \frac{2 + 3\mathrm{p}}{6}$, $\mathrm{P}(\mathrm{E}_2) = \frac{2 - \mathrm{p}}{8}$ and $\mathrm{P}(\mathrm{E}_3) = \frac{1 - \mathrm{p}}{2}$. If the maximum and minimum values of p are $\mathrm{p}_1$ and $\mathrm{p}_2$, then $(\mathrm{p}_1 + \mathrm{p}_2)$ is equal to :

Accepted Answer

Option 2: $\frac{5}{3}$

Answer

$\frac{2}{3}$

Answer

$\frac{5}{3}$

Answer

$\frac{5}{4}$

Answer

$1$

JEE Main 26 July 2022, Shift 1, Maths Q17