1. Do Now 4/6/11 Take out HW from yesterday. Take out HW from yesterday.  Textbook page 309, #3-7 all, 11a & b, 17 & 18 Copy HW in your planner. Copy HW in your planner.  Practice worksheet 6.7, #1-14 all  Practice worksheet 6.8, #1-12 all  Quiz sections 6.5, 6.7, 6.8 Friday In your notebook, find the probabilities using the spinner at the right. P(1 or 2) = P(even) = P(1-8) = P(factor of 6) = P(9) =P(less than 4) =

2. Homework Textbook page 309, #3-7 all, 11a & b, 17 & 18 3) 1/2 4) 1/2 5) 2/3 6) 11/15 about 268 days 7) 1/4 11a) 2/11 11b) 5/11 17) 16/143, or about 0.1119 18) 1/240 or about 0.0042

3. Objective SWBAT find the odds of an event.

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

5. “Probability of an Event”

6. Odds the ratio of the number of outcomes to outcomes. Odds in favor = Section 6.7 “Probability and Odds” Two types of odds: Odds against =

7. Odds in favor = # of favorable outcomes : # of unfavorable outcomes Odds against = # of unfavorable outcomes : # of favorable outcomes MATHEMATICAL Each letter of the word above is written on a separate piece of paper and placed in a hat. A letter is chosen at random from the hat. What are the odds in favor of choosing a consonant? What are the odds against choosing a ‘M, A, T, or H’? 7 : 5 4 : 8 1 : 2 “What are the Odds?”

8. Probability & Odds Probability & Odds Compares outcomes to outcomes. Compares favorable outcome to the TOTAL number of outcomes. Odds in favor = Odds against =

9. Objective SWBAT use the counting principle to find probabilities

10. Roll the dice... Suppose you are rolling a two 6-sided number cubes and finding the sum of the rolls. 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? What is the probability that you will roll a prime number? a composite number? 1234561234567 2345678 3456789 45678910 567891011 6789101112

11. 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? plastic metal rectangular oval cat’s eye round rectangular oval round One way to count the number of possibilities is to use a TREE DIAGRAM. One way to count the number of possibilities is to use a TREE DIAGRAM. There are 8 different frame types. There are 8 different frame types.

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

13. 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: E1E2E3 D1D2D1D2D1D2 E1D1 E1D2 E2D1 E2D2 E3D1 E3D2 6 lunch combinations Use the Counting Principle: (3 entrees) x (2 desserts) = 6 lunch combination 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.

14. 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 1 = 8 outcomes Use the Counting Principle with Probabilities Spinner 2 = 5 outcomes Spinner 2 = 5 outcomes Spinner 3 = 4 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.

15. Guess the Password? You forgot your password to get into your email. You remember that it is 3 upper- case letters and 3 numbers. What is your probability of guessing it correctly? 26 outcomes26 outcomes26 outcomes10 outcomes10 outcomes10 outcomes ABC123 The total outcomes would be 17,576,000. The probability would be 1 : 17,576,000.

16. NJASK7 Prep Homework  Practice worksheets 6.7 & 6.8