Question

A bag x contains 3 white balls and 2 black balls and another bag y contains 2 white balls and 4 black balls. A bag and a ball out of it are picked at random. The probability that the ball is white, is

• A. 3/5
• B. 7/15
• C. ½
• D. None of these

Answer 1

Answer: (B)

7/15

Answer 2

Required probability = $\frac{1}{2}\left( \frac{3}{5} + \frac{2}{6} \right) = \frac{9 + 5}{30} = \frac{7}{15}$