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JEE Main 2026 Apr 5 Shift 2, Mathematics Q8: Total Probability Theorem And Bayes' Theorem

JEE Main2026Apr 5, Shift 2Mathematics
Q.

The probabilities that players and of a team are selected for the captaincy for a tournament are 0.6 and 0.4, respectively. If is selected the captain, the probability that the team wins the tournament is 0.8 and if is selected the captain, the probability that the team wins the tournament is 0.7. Then the probability, that the team wins the tournament, is:

  1. A

    0.74

  2. B

    0.76

  3. C

    0.72

  4. D

    0.78

Solution

By the law of total probability:

.

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