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A bag contains 4 red and 3 black balls. A second bag contains 2 red and 4 black balls. One bag is selected at random. From the selected bag, one ball is drawn. Find the probability that the drawn ball is red.

  • maths -

    consider the result as 2 independent events

    bag1, red
    bag2, red

    Prob(bag1,red) = (1/2)(4,7) = 2/7
    prob(bag2,red) = (1/2)2/6) = 1/6

    prob(your event) = 2/7 + 1/6 = 19/42

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