Do Now 5/21/13 Take out HW from last night. Text p. 408, #1-16 Copy HW in your planner. Text p. 416, #4-7 all Text p. 420, #6-23 all Quiz sections 10.1-10.4 Friday

Homework Text p. 408, #1-16 10) Since Tim rarely watches more than 30 minutes of TV, it is not likely that he is watching TV at 5:00 P.M. 11) as likely as not 12) impossible 13) certain 14) as likely as not 15) not likely 16) purple flowers because the probability of selecting purple is 700/900 compared to white which is 200/900 1) unlikely 2) impossible 3) 5/6 4) likely 5) certain 6) as likely as not 7) unlikely 8) 2/3 9) 2/5

Homework Text p. 412, #3-10 3) 13/30, ≈0.43, ≈ 43% 4) 8/15 3) 13/30, ≈0.43, ≈ 43% 4) 8/15 5) a). 9/14; b). 5/14 6) 2/5 7) 16/25 8) 2/5 9) 3/11, ≈27% 10) a). 9.1 inches b). 0 c). 1/5

Learning Goal SWBAT use counting methods to determine possible outcomes

Section 10.3 “Sample Spaces” all the possible outcomes of an experiment.

One way to count the number of possibilities is to use a TREE DIAGRAM. You are buying new eyeglasses and must choose the frame material and shape. The frame can be either plastic or metal. The shape can be rectangular, oval, cat’s eye, or round. How many different frames are possible? rectangular oval One way to count the number of possibilities is to use a TREE DIAGRAM. plastic cat’s eye round rectangular There are 8 different frame types. metal oval cat’s eye round

There are 32 different frame types. What if the frames come in different colors. They can be either black, red, green, or blue. How many different frames are possible now? rectangular rectangular oval oval plastic plastic cat’s eye cat’s eye round round green black rectangular rectangular oval oval metal metal cat’s eye cat’s eye There are 32 different frame types. round round rectangular rectangular oval oval plastic plastic cat’s eye cat’s eye round round red blue rectangular rectangular oval oval metal metal cat’s eye cat’s eye round round

Fundamental Counting Principle- states that you can find the total number of outcomes for two or more experiments by multiplying the number of outcomes for each separate experiment. You are buying new eyeglasses and must choose the frame material and shape. The frame can be either plastic or metal. The shape can be rectangular, oval, cat’s eye, or round. What if the frames come in different colors. They can be either black, red, green, or blue. How many different frames are possible now? Frame 2 Shape 4 Color 4 x x = 32 possibilities

Fundamental Counting Principle: The early bird menu at TGIFriday’s for lunch consists of 3 entrees and 2 desserts. What are the possible lunch combinations? How many different lunch combinations can you get? Make a tree diagram: Fundamental Counting Principle: E1 E2 E3 (3 entrees) x (2 desserts) = 6 lunch combination D1 D2 D1 D2 D1 D2 E1D1 E1D2 E2D1 E2D2 E3D1 E3D2

Fundamental Counting Principle: A spinner is divided into fourths and numbered 1 through 4. Ralph spins the spinner and tosses a coin. What are all of the possible outcomes? How many outcomes are in the sample space? Make a tree diagram: Fundamental Counting Principle: 1 2 3 4 (4 spins) x (2 coins) = 8 outcomes H T H T H T H T 1H 1T 2H 2T 3H 3T 4H 4T

Roll the dice... Suppose you are rolling two 6-sided number cubes. How many outcomes are in the sample space? What are the possible outcomes if you are finding the sum of the rolls? 1 2 3 4 5 6 7 8 9 10 11 12 Use the counting principle. There are 6 outcomes on one dice and 6 outcomes on the second dice. 6 x 6 = 36 outcomes

You spin each spinner once. How many outcomes are possible? Use the Counting Principle with Probabilities You spin each spinner once. How many outcomes are possible? Use the counting principle to find the total number of possible outcomes. Spinner 1 = 8 outcomes Spinner 2 = 5 outcomes Spinner 3 = 4 outcomes The total amount of outcomes is 8 x 5 x 4 = 160.

Learning Goal 2 SWBAT find the theoretical probability of an event

Section 10.2 “Experimental Probability” Remember this??? Experimental probability- comparing the number of times the event occurs to the number of trials

Section 10.4 “Theoretical Probability” finding the probability of an event when all outcomes are equally likely. If each possible outcome of an experiment is equally likely, then the experiment is said to be FAIR

Rolling a number greater than 2 on a fair number cube Find the probability of each event. Write your answer as a fraction, percent, and decimal (rounded to the nearest hundredth). Rolling a number greater than 2 on a fair number cube Randomly choosing an orange chip from a bag of 14 green chips, 4 blue chips, and 12 orange chips

“Roll the Dice” Suppose you are rolling a two fair number cubes and finding the sum of the rolls. Find the probabilities as a fraction, percent and decimal (rounded to the nearest hundredth). Sample space 1 2 3 4 5 6 7 8 9 10 11 12 What is the probability that you will roll a 7? What is the probability that you will roll a prime number?

“Pick a Card” Suppose you are randomly choosing cards from a shuffled deck of 52 cards with 13-card suits: diamonds, hearts, clubs, and spades. (Round your answers to the nearest hundredth if necessary). What is the probability that you choose a 7 of hearts or diamonds? What is the probability that you will pick a King, Queen, Jack, or Ace?

Homework Text p. 416, #4-7 all Text p. 420, #6-23 all