OCR MEI S1 - help

So in part i, the answer is gonna be (5C2 x 5C1)/*10C3) hence the answer to part 1 is 5/12.

In part ii, it turns into a bionomial situation where X ~ B(4, 5/12)

hence the questions just asks to find P(X=>3) which is the same as " 1 - P(X<3)"

Hence we do:

- P(X=0) => 4C0 x (7/12)^4 = 0.1158
- P(X=1) => 4C1 x (5/12)^1 x (7/12)^3 = 0.3308
- P(x=2) => 4C2 x (5/12)^2 x (7/12)^2 = 0.3545

Hence: 1 - (0.1158 + 0.3308 + 0.3545) = 0.1989...= 0.199

NOTE: half way reading writing this post, you can do a much quicker way of just finding P(X=3) and P(X=4) and just adding them together. works either way; whatever floats your boat.