Multiple choice

There are two bags containing white and black balls. In the first bag, there are 8 white and 6 black balls and in the second bag, there are 4 white and 7 black balls. One balls is drawn at random from any of these two bags. Find the probability of ball being black.

  1. 5/9

  2. 7/9

  3. 41/77

  4. 7/17
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Using total probability: each bag is equally likely to be chosen (probability 1/2). Black probability from first bag = 6/14 = 3/7. Black probability from second bag = 7/11. Combined probability = (1/2)(3/7) + (1/2)(7/11) = 41/77.

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