Multiple choice

Bag 1 contains 2 white and 4 black balls. Bag 2 contains 5 white and 3 black balls. A ball is drawn from each bag, find the probability that both are black?

  1. $5/24$
  2. $1/4$
  3. $1/8$
  4. $1/2$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Probability of both balls being black = P(black from bag 1) × P(black from bag 2). Bag 1 has 4 black out of 6 total (2/3). Bag 2 has 3 black out of 8 total (3/8). Product = (2/3) × (3/8) = 6/24 = 1/4. These are independent events since draws are from different bags.