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P.O.D. #7 basicadvanced At DiNardo’s Cafe, customers must choose between regular or decaf coffee. They can also order their coffee hot, iced or frozen. What is the probability that the next customer will order a regular iced coffee? RH, RI, RF, DH, DI, DF Mr. Coleman is purchasing new uniforms for the track team. Below are the color options for the uniforms. If he chooses randomly, what is the probability that he will choose a yellow shirt, blue shorts, and white shoes. Shirts Orange Yellow Green Shorts Red Blue Shoes White Teal Sample Space: Probability:P(RI) = 1616 Sample Space: ORW, ORT, OBW, OBT, YRW, YRT, YBW, YBT, GRW, GRT, GBW, GBT Probability:P(YBW) = 1 12

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Fundamental Counting Principle

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The Fundamental Counting Principle states that the total number of outcomes in a compound event can be found by multiplying the number of outcomes of each event.

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Use the Fundamental Counting Principle to find the total number of outcomes when a coin is tossed and a number cube is rolled. Example: = CoinCubeTotal OneTwoThreeFourFiveSix Heads Tails H1H2H3 H4H5H6 T1T2T3T4T5 T6 26 12

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Find the total number of outcomes from rolling a number cube and choosing a letter from the word NUMBERS. Then find the probability of rolling a 6 and choosing an M. Example: CubeWordTotal = × 6742 P(6M) = 1 42

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Whiteboard: How many outcomes are possible when rolling a number cube and picking a marble from 4 different colored marbles? Cube Marble = Total 6 4 = 24

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Whiteboard: Find the number of different outfits that can be made from 3 sweaters, 4 blouses, and 6 skirts. Then find the probability of randomly selecting a particular sweater-blouse-skirt outfit. Is the probability of this event likely or unlikely? Sweater Blouse Skirt = Total 3 4 6 = 72 P(outfit) = 1 72 This event is unlikely to happen.

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Warm-Up Exercises EXAMPLE 1 Find a theoretical probability T-shirts You and your friends designed T-shirts with silk screened emblems, and you are selling.

Warm-Up Exercises EXAMPLE 1 Find a theoretical probability T-shirts You and your friends designed T-shirts with silk screened emblems, and you are selling.

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