OpenStax, Introductory Statistics 2e §3.5 Tree and Venn Diagrams · Example 3 · Combinatorics · Sets & logic

Tree and Venn Diagrams · Example 2

(a) What is the probability that both kittens are tabby?
a. $(\frac{1}{2}) (\frac{1}{2})$ b. $(\frac{4}{9}) (\frac{4}{9})$ c. $(\frac{4}{9}) (\frac{3}{8})$ d. $(\frac{4}{9}) (\frac{5}{9})$
(b) What is the probability that one kitten of each coloring is selected?
a. $(\frac{4}{9}) (\frac{5}{9})$ b. $(\frac{4}{9}) (\frac{5}{8})$ c. $(\frac{4}{9}) (\frac{5}{9}) + (\frac{5}{9}) (\frac{4}{9})$ d. $(\frac{4}{9}) (\frac{5}{8}) + (\frac{5}{9}) (\frac{4}{8})$
(c) What is the probability that a tabby is chosen as the second kitten when a black kitten was chosen as the first?
(d) What is the probability of choosing two kittens of the same color?

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OpenStax, Introductory Statistics 2e · §3.5 Tree and Venn Diagrams · Example 3

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