P.O.D. #2 basic advanced 2 9 x 243 = # of red total P(red) = A bowl of jellybeans contains 12 red, 17 pink, 8 yellow, and 11 green. What is the probability that you will randomly choose a red jellybean? A bowl contains 243 m&ms. If the probability of picking a green m&m is 2/9, how many green m&ms are in the bowl? 2 9 x 243 = # of red total P(red) = 2  243 = 9  x 486 = 9x ÷9 ÷9 54 = x 12 48 1 4 P(red) = =

Probability of Compound Events

In a probability event, the sample space is the set of all possible outcomes.

Color Top Blue Convertible Blue Hardtop Silver Convertible Silver Example: After saving her money, Mrs. Sprinkle decides to buy a car. The car she wants to buy can be purchased in blue, silver, or red. It also comes as a convertible or hardtop. Use a table or tree diagram to find the sample space for the different styles in which the car can be purchased. Color Top Blue Convertible Blue Hardtop Silver Convertible Silver Hardtop Red Convertible Red Hardtop

Example: After saving her money, Mrs. Sprinkle decides to buy a car Example: After saving her money, Mrs. Sprinkle decides to buy a car. The car she wants to buy can be purchased in blue, silver, or red. It also comes as a convertible or hardtop. Use a table or tree diagram to find the sample space for the different styles in which the car can be purchased. Color Top Sample Space Convertible BC Blue Hardtop BH Convertible SC Silver Hardtop SH Convertible RC Red Hardtop RH

A compound event consists of two or more simple events. Example of Simple Event: Flipping a coin. Example of a Compound Event: Flipping a coin and tossing a number cube. The probability of a compound event (just like a simple event) is the fraction of outcomes in the sample space for which the compound event occurs.

3 12 1 4 P(even & tails) = = One Two Three Four Five Six Heads Tails Example: Suppose you roll a number cube and flip a coin. What is the probability that you will roll an even number with the cube and get tails in the coin toss? One Two Three Four Five Six Heads Tails H1 H2 H3 H4 H5 H6 T1 T2 T3 T4 T5 T6 3 12 1 4 P(even & tails) = =

Whiteboard: The animal shelter has both male and female Labrador Retrievers in yellow, brown, or black. There is an equal number of each kind. What is the probability of choosing a yellow, female Labrador Retriever? Sample Space Gender Color F, Y Y 1 6 F P(F, Y) = Br F, Br Bl F, Bl Y M, Y M Br M, Br M, Bl Bl

2 P(B2 or Y2) = 9 #1 #2 #3 Red R1 R2 R3 Yellow Y1 Y2 Y3 Blue B1 B2 B3 Whiteboard: To win a carnival prize, you need to choose one of 3 doors labeled 1 through 3. Then you need to choose a red, yellow, or blue box behind each door. What is the probability that the prize is in the blue or yellow box behind door 2? #1 #2 #3 2 9 P(B2 or Y2) = Red R1 R2 R3 Yellow Y1 Y2 Y3 Blue B1 B2 B3