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Probability question

2022 · 26 Jul · Shift 1 · Q37
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  5. /2022 · 26 Jul · Shift 1 · Q37

Probability question

2022 · 26 Jul · Shift 1 · Q37

JEE MainMathematicsProbabilityMCQ+4 / −1
Let E1,E2,E3\mathrm{E}_{1}, \mathrm{E}_{2}, \mathrm{E}_{3}E1​,E2​,E3​ be three mutually exclusive events such that P(E1)=2+3p6,P(E2)=2−p8\mathrm{P}\left(\mathrm{E}_{1}\right)=\frac{2+3 \mathrm{p}}{6}, \mathrm{P}\left(\mathrm{E}_{2}\right)=\frac{2-\mathrm{p}}{8}P(E1​)=62+3p​,P(E2​)=82−p​ and P(E3)=1−p2\mathrm{P}\left(\mathrm{E}_{3}\right)=\frac{1-\mathrm{p}}{2}P(E3​)=21−p​. If the maximum and minimum values of p\mathrm{p}p are p1\mathrm{p}_{1}p1​ and p2\mathrm{p}_{2}p2​, then (p1+p2)\left(\mathrm{p}_{1}+\mathrm{p}_{2}\right)(p1​+p2​) is equal to :
  1. A
    23\frac{2}{3}32​
  2. B
    53\frac{5}{3}35​
  3. C
    54\frac{5}{4}45​
  4. D
    1
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