What is P(At least 1 green) =

Question

Suppose that you have 7 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards without replacement. 

G₁ = the first card drawn is green

G₂ = the second card drawn is green

Answer 1

Pr(at least one green) on 2 draws randomly from 7 green and 5 not green = 1-Pr(no green)

= 1- 5/12)(5/11) = 1- 25/132 = (132-25)/132 = 107/132