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Do Now 4/6/11

Do Now 4/6/11. Take out HW from yesterday. Textbook page 309, #3-7 all, 11a & b, 17 & 18 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

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Do Now 4/6/11

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  1. Do Now 4/6/11 • Take out HW from yesterday. • Textbook page 309, #3-7 all, 11a & b, 17 & 18 • 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(1-8) = P(even) = P(factor of 6) = P(9) = P(less than 4) =

  2. 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 Homework Textbook page 309, #3-7 all, 11a & b, 17 & 18

  3. Objective SWBAT find the odds of an event.

  4. 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.

  5. “Probability of an Event”

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

  7. “What are the Odds?” 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. 7 : 5 What are the odds in favor of choosing a consonant? 4 : 1 : 2 8 What are the odds against choosing a ‘M, A, T, or H’?

  8. Probability & Odds Compares favorable outcome to the TOTAL number of outcomes. Compares outcomes to 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. What is the probability that you will roll a 7? What is the probability that you will roll a prime number? a composite number?

  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? 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

  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? 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

  13. Section 6.8 “The Counting Principle” If one event can occur in mways and another event can occur in nways, 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

  14. You spin each spinner once. Find the probability that all three spinners stop on the number 2? Use the Counting Principle with Probabilities 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.

  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? A B C 1 2 3 26 outcomes 26 outcomes 26 outcomes 10 outcomes 10 outcomes 10 outcomes 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

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