JEE Main 2026 — Probability Question with Solution
JEE Main 2026 (23 January Shift 2)
Question
Bag A contains 9 white and 8 black balls, while bag B contains 6 white and 4 black balls. One ball is randomly picked up from the bag B and mixed up with the balls in the bag A. Then a ball is randomly drawn from the bag A. If the probability, that the ball drawn is white, is , then is equal to
Choose an option
Show full solutionCorrect option: A
Correct answer
A23
Step-by-step explanation
Bag A: 9W, 8B. Bag B: 6W, 4B.
Case 1: White transferred from B (prob ). A becomes 10W, 8B. .
Case 2: Black transferred from B (prob ). A becomes 9W, 9B. .
Total probability .
. So .
Case 1: White transferred from B (prob ). A becomes 10W, 8B. .
Case 2: Black transferred from B (prob ). A becomes 9W, 9B. .
Total probability .
. So .
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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.