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9-3 The Fundamental Counting Principle. Let’s Review!. There are 15 red, 7 blue, 20 yellow, and 2 green gumballs. P(green) = P(not yellow) = P(red or blue) = P(not blue) + P(blue) =. Example.
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Let’s Review! • There are 15 red, 7 blue, 20 yellow, and 2 green gumballs. • P(green) = • P(not yellow) = • P(red or blue) = • P(not blue) + P(blue) =
Example • The cafeteria offers bagels, cereal, and muffins. They offer either milk or OJ to drink. Make a tree diagram. How many possible meal combinations are there?
Fundamental Counting Principle • If event M has m possible outcomes and event N has n possible outcomes, then there are m * n total possible outcomes
How many different shoes are there? • There are black and brown shoes, each in closed toe and open toe, and each in sizes 6, 7, 8, 9, 10 • What’s the probability that a random shoe picked is a black, closed toe, size 7?
Example • How many outcomes are there when we flip a coin and roll a die. • What’s the probability of getting heads and a 5?
Example! • How many total outcomes are there when you flip a quarter, then dime, then nickel?
