Posted by **Mary** 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 -
**Reiny**, 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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