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MathsJEE Main 23 Jan 2026, Shift 2·Q11·MCQ·Easy–moderate

Probability · Total probability theorem

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 pq\dfrac{p}{q}, gcd⁡(p,q)=1\gcd(p, q) = 1, then p+qp + q is equal to
  1. (1)22
  2. (2)23
  3. (3)24
  4. (4)21

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