There are 9+4+7+6+12+4 = 42 territories total. If you pick 3 different territories uniformly at random, what is the probability that all three are on the same continent?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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In the board game Risk, the world map is divided into six continents, and each continent is broken up
into multiple territories. North America has 9 territories; South America has 4 territories; Europe
has 7 territories; Africa has 6 territories; Asia has 12 territories; Australia has 4 territories.
There are 9+4+7+6+12+ 4 = 42 territories total. If you pick 3 different territories uniformly
at random, what is the probability that all three are on the same continent?
Transcribed Image Text:In the board game Risk, the world map is divided into six continents, and each continent is broken up into multiple territories. North America has 9 territories; South America has 4 territories; Europe has 7 territories; Africa has 6 territories; Asia has 12 territories; Australia has 4 territories. There are 9+4+7+6+12+ 4 = 42 territories total. If you pick 3 different territories uniformly at random, what is the probability that all three are on the same continent?
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