OpenStax, Introductory Statistics 2e §3.5 Tree and Venn Diagrams · Exercise 6 · Combinatorics · Sets & logic

Tree and Venn Diagrams · Exercise 6

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 AND 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.

~8 minWritten answer · compare with the solution

OpenStax, Introductory Statistics 2e · §3.5 Tree and Venn Diagrams · Exercise 6

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