JEE Main 2026 — Probability Question with Solution
JEE Main 2026 (05 April Shift 2)
Question
The probabilities that players and of a team are selected for the captaincy for a tournament are and , respectively. If is selected the captain, the probability that the team wins the tournament is and if is selected the captain, the probability that the team wins the tournament is . Then the probability, that the team wins the tournament, is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Let be the event that player A is selected as captain, and the event that player B is selected as captain. Let be the event that the team wins the tournament.
Given:
,
,
By the law of total probability:
Hence, the correct option is .
Given:
,
,
By the law of total probability:
Hence, the correct option is .
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This is a previous-year question from JEE Main 2026, covering the Probability chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.