P.O.D. #7basic advancedAt 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 OrangeYellowGreen

ShortsRedBlue

ShoesWhiteTeal

Sample Space:

Probability: P(RI) = 16

Sample Space: ORW, ORT, OBW, OBT, YRW, YRT, YBW, YBT, GRW, GRT, GBW, GBT

Probability: P(YBW) = 112

Fundamental Counting Principle

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.

Use the Fundamental Counting Principle to find the total number of outcomes when a coin is tossed and a number cube is rolled.

Example:

=

Coin Cube Total

One Two Three Four Five Six

Heads

Tails

H1 H2 H3 H4 H5 H6

T1 T2 T3 T4 T5 T6

2 6 12

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:

Cube Word Total

=×6 7 42

P(6M) = 142

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

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) = 172

This event is unlikely to happen.