There are two identical boxes of balls. In the first box 2 blue and 5 orange balls, and the second 3 blue and 6 orange balls. Chosen at random from the box and pull out a 1 ball. What is the probability that the ball taken is orange

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  1. 2 cases:
    box 1, then orange
    box 2, then orange

    prob = (1/2)(5/7) + (1/2)(6/9)
    = 5/14 + 6/18 = 29/42

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