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MathNet 2018-part-05 — 181 problems (EN–VI) Question 157

Math Olympiad Vault · MathNet 2018-part-05 — 181 problems (EN–VI)

Question 157

An animal shelter has 15 dogs and 20 cats. We choose 8 of these animals at random. Compute the probabilities of the following events, accurate to five decimal places:

a) We chose 8 dogs,

b) We chose 5 dogs and 3 cats,

c) We chose more dogs than cats,

d) We chose at least 6 cats.