JEE Mains · Maths · STD 12 - 13. probability
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 \( p/q \) (where \( gcd(p,q)=1 \)), then \( p+q \) is equal to:
- A 22
- B 23
- C 24
- D 21
Answer & Solution
Correct Answer
(B) 23
Step-by-step Solution
Detailed explanation
\(\therefore \quad P(\) Drawn ball is white \()=\frac{3}{5} \times \frac{10}{18}+\frac{2}{5} \times \frac{9}{18}\) \(=\frac{48}{90}=\frac{8}{15}=\frac{p}{q}\) \(\therefore \quad p+q=23\)
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