A bag contains 4 white and 2 black balls. Another contains 3 white and 5 black balls. If one ball is drawn from each bag, find the probability that both are white ?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 1/4
The first bag holds 6 balls of which 4 are white, so the chance of drawing white from it is 4/6 = 2/3. The second holds 8 balls of which 3 are white, giving 3/8.
The two draws are independent, so the probability that both are white is 2/3 × 3/8 = 6/24 = 1/4.