A bag contains 4 white and 2 black balls. Another bag contains 3 white and 5 black balls. If one ball is drawn from each bag, find the probability that both balls are white.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(\frac{1}{4}\)
The draw from one bag does not affect the draw from the other, so the two events are independent, and the probability that both happen is the product of their probabilities. Each probability is the number of white balls over the number of balls in that bag.
White from the first bag: \(\frac{4}{6}=\frac{2}{3}\)
White from the second bag: \(\frac{3}{8}\)
Both white: \(\frac{2}{3}\times\frac{3}{8}=\frac{6}{24}=\frac{1}{4}\)