Question

Suppose that you have 6 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards with replacement. G1 = the first card drawn is green G2 - the second card drawn is green a. P(Gand G2) = ___________

b. P(At least 1 green) = __________
c. P(G21G1) = __________ d. Are G1 and G2 independent?

Answer 1

a. P(G1 and G2) = (6/11)(6/11) = 36/121

b. P(at least 1 green) = 1 - 36/121 = 85/121

c. P(G1 or G2) =

(6/11)(5/11) + (5/11)(6/11) + (6/11)(6/11) =

30/121 + 30/121 + 36/121 = 96/121

d. Yes, G1 and G2 are independent.