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Posted by on Wednesday, May 2, 2012 at 8:46am.

A box contains 4 red cubes, 3 blue cubes, 2 green cubes, and 1 yellow cube. You pick two cubes at random, replacing each after you pick. Find the probability of each compound event.

  • Math - , Wednesday, May 2, 2012 at 10:52am

    possible events:
    RR RB RG RY
    BB BG BY
    GG GY
    YY
    (The order does not matter)

    I will do one of them, you do the rest
    Prob(B or G) = C(3,1)*C(2,1)/C(10,2) = 6/45 = 2/15

    or

    Prob(BG) = (3/10)(2/9) = 6/90
    prob (GB) = (2/10)(3/9) = 6/90
    prob (B or G) = 6/90 + 6/90 = 6/45

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