Do Now 3/17/11 Take out HW from last night. Copy HW in your planner. Text p. 309, #7-11 all, 17 & 18 Copy HW in your planner. Text p. 315 #7-16 all Quiz sections 6.6-6.8 Tuesday On a piece of paper, answer the following question. Suppose you are rolling two 6-sided number cubes and finding the sum of the rolls. What is the probability of you rolling 6, 7, or 8?

Roll the dice... Suppose you are rolling a two 6-sided number cubes and finding the sum of the rolls. How many ways can you can get a 6, 7, or 8? 1 2 3 4 5 6 7 8 9 10 11 12 You can get a 6, 7, or 8, 16 different ways.

Homework Textbook p. 309, #7-11 all, 17 & 18 7) 1/4 8) 1 to 3 9) 3 to 1 10) about 12 or 13 times 11) a) 2/11 b) 5/11 c) 6 to 5 d) RIVER 17) 18)

Objective SWBAT use the counting principle to find probabilities

Section 6.7 “Probability and Odds” Experimental probability- performing an experiment and testing data. Theoretical probability- mathematically tells you how likely it is that an event will happen.

Roll the dice... Suppose you are rolling a two 6-sided number cubes and finding the sum of the rolls. What is the probability that you will roll a 7? 1 2 3 4 5 6 7 8 9 10 11 12 What is the probability that you will roll a prime number? a composite number?

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

Section 6.8 “The Counting Principle” If one event can occur in m ways and another event can occur in n ways, then the two events can occur in mn ways. The early bird menu at TGIFriday’s for lunch consists of 3 entrees and 2 desserts. How many different lunch combinations can you get? Make a tree diagram: Use the 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 6 lunch combinations

Section 6.8 “The Counting Principle” If one event can occur in m ways and another event can occur in n ways, then the two events can occur in mn ways. The dinner menu at TGIFriday’s consists of 5 appetizers, 14 entrees, and 3 desserts. How many different dinner combinations can you get? Use the Counting Principle: Make a tree diagram: (5 appetizers) x (14 entrees) x (3 desserts) = 210 different dinner combinations

Use the Counting Principle with Probabilities You spin each spinner once. Find the probability that all three spinners stop on the number 2? 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. The probability that all three spinners stop on the number 2 is 1/160.

Use the Counting Principle with Probabilities You spin each spinner once. Find the probability that all three spinners stop on the same number? 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. All three spinners share 1, 2, 3, & 4, so there are 4 favorable outcomes. The probability that all three spinners stop on the same number is 4 out of 160 which is 1/40.

NJASK7 Prep Homework Textbook page 315, #7-16 all

Homework Practice worksheet 6.6 1) 96 mi. 2) 204 mi. 3) 300 mi. 4) 504 mi. 5) 6 mi. 6) 9 mi. 7) 4.5 mi. 8) 13.5 mi. 9) 30 mi. 10) 4 cm 11) 9 cm 12) 15 cm 13) 5.5 cm 14) 0.3 cm 15) 0.6 cm 16) 1.2 cm 17) 0.25 cm 18) 0.45 cm 19) 1 : 168 20) 1: 1080 21) 1: 300 22) 1 : 6500 23) 1 : 800,000 24) 1 : 320 25) 360 mi. 26) 1 in. : 8ft. 27) 2 m 28) a). 12 in. b). 360

Homework Practice worksheet 6.7 1) theoretical 2) experimental 3) 3/10 4) 1/5 5) 4 to 1 6) 2 to 3 7) 5 times 8) 4/9 9) 1/3 10) 1 to 2 11) 3 to 2 12) 2/3 13) 16/45 14) 37 to 53