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paper 62

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i know how to do it my way but i dont under stand how the markscheme does it
 
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You don't have to care the MS's answer as long as yours is correct and REASONABLE.
By now I have thought of two ways to solve part (ii).
Method 1: Direct Probability Addition:
The three including 2 green can be: GG-, G-G and -GG
So calculate the P for each case, then add together.
GG- = G-G = -GG = (4/12)(3/11)(8/10) = 4/55
So total P = 3 * (4/55) = 12/55

Method 2: Combination dividing
The number of ways to choose 2 green is 4C2 * 8C1 = 48
Number of ways to choose ANY 3 with no restrictions is 12C3 = 220
The P is then 48/220 = 12/55
 
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