Venn Diagrams · Exercise 13

Suppose that you have eight cards. Five are green and three are yellow. The cards are well shuffled.

Suppose that you randomly draw two cards, one at a time, with replacement.
Let G_1 = first card is green
Let G_2 = second card is green

(a) Draw a tree diagram of the situation.
(b) Find P(G_1 $\cap$ G_2).
(c) Find P(at least one green).
(d) Find P(G_2$|$G_1).
(e) Are G_2 and G_1 independent events? Explain why or why not.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Business Statistics 2e · §3.5 Venn Diagrams · Exercise 13