MCQMediumJEE Main 2025 · 2 April, Shift 2Conditional Probability & Bayes Theorem

Mathematics Question from JEE Main 2025 · 2 April, Shift 2

Given three identical bags each containing 1010 balls, whose colours are as follows:

Bag I 33 Red 22 Blue 55 Green Bag II 44 Red 33 Blue 33 Green Bag III 55 Red 11 Blue 44 Green

A person chooses a bag at random and takes out a ball. If the ball is Red, the probability that it is from Bag I is pp and if the ball is Green, the probability that it is from Bag III is qq, then the value of 1p+1q\frac{1}{p} + \frac{1}{q} is:

  • A

    99

  • B

    77

  • C

    88

  • D

    66

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