A bag contains 3 white and 6 black balls while another bag containg 6 white and 3 black balls. A bag is selected at random and a ball is drawn.
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The first bag has 3 white balls.
So, the probability of drawing a white ball from bag 1 is 3/9.
Similarly, the probability of drawing a white ball from bag 2 is 6/9.
But we have to find the probability of a white ball being drawn from the first bag.
Number of favorable outcomes = 3/9
Total outcomes = 3/9 + 6/9 = 9/9
Probability = 3/9 / 9/9 = 3/9
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