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OpenStax, Introductory Business Statistics 2e §3.5 Venn Diagrams · Exercise 14 · Combinatorics · Sets & logic

Venn Diagrams · Exercise 14

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, without replacement.
G_1 = first card is green
G_2 = second card is green

(a) Draw a tree diagram of the situation.
(b) Find P(G_1 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.

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OpenStax, Introductory Business Statistics 2e · §3.5 Venn Diagrams · Exercise 14

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