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Lesson  12.7 , For use with pages  685-689 1.   a dog 2. a cat or rabbit An animal shelter has  12  dogs,  15  cats,  2  snakes, and  3  rabbits. Find the probability of randomly selecting an animal.
Lesson  12.7 , For use with pages  685-689 1.   a dog 2. a cat or rabbit An animal shelter has  12  dogs,  15  cats,  2  snakes, and  3  rabbits. Find the probability of randomly selecting an animal. ANSWER 3 8 ANSWER 9 16
Probability and Odds Section 12.7 P. 685
Essential Questions ,[object Object],[object Object],[object Object],[object Object]
Vocabulary ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Vocabulary ,[object Object],[object Object],[object Object]
EXAMPLE 1 Finding Probabilities Gifts a.   What is the probability that your name is chosen? b.  What is the probability that your name is not  chosen? You and seven friends contribute money for a gift.  Everyone’s name is put in a hat. The person whose name is chosen at random picks the gift.
EXAMPLE 1 SOLUTION a.   P ( your name is chosen ) b.   P ( your name is not chosen )  =   1 –   P ( your name is  chosen ) . Finding Probabilities = Number of favorable outcomes Number of possible outcomes = 1 8 = 1 – 1 8 = 7 8
GUIDED PRACTICE for Examples 1 and 2 You are given the probability that event  A  will occur.  Find the probability that event  A   will  not  occur. ANSWER P (A)  will not occur   = 1 –  P (A) 1.   P ( A )   = 3 4 3 = 1 – 4 = 1 4
GUIDED PRACTICE for Examples 1 and 2 =   1– 0.45 = 0.55 You are given the probability that event  A  will occur.  Find the probability that event  A   will  not  occur. 2.  P (A)   = 0 . 45 ANSWER P (A)  will not occur   =   1 –  P (A)
GUIDED PRACTICE for Examples 1 and 2 You are given the probability that event  A  will occur.  Find the probability that event  A   will  not  occur. 3.  P (A)   = 32% ANSWER P (A)  will not occur   =   1– 32% = 68% =   1 –  P (A)
GUIDED PRACTICE for Examples 1 and 2 P ( drawings on S ) SOLUTION The  11  letters in the word MISSISSIPPI are each written on pieces of paper and randomly chosen from a bag. What is the probability of drawing an S   from the bag? What is the probability of not drawing an S? 5.  = 4 11 Number of favorable outcomes Number of possible outcomes =
GUIDED PRACTICE for Examples 1 and 2 P (Not drawings on S) = 1  –  4 11 = 7 11 1 –  P  (drawings on S)   =
Vocabulary ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
EXAMPLE 2 Finding Odds Vacation Survey You do a survey asking your class to   rank three vacation choices Results for “the beach” are shown at the right. What are the odds in favor of a randomly chosen student from your class ranking a beach vacation first?
EXAMPLE 2 The beach was ranked first by  6  students, so there are  6  favorable outcomes. It was ranked second by  12   students, and ranked third by  9  students, so there are  12 +9 =   21  unfavorable outcomes.  Odds in favor  SOLUTION Finding Odds ANSWER The odds in favor of a randomly chosen student  ranking a beach vacation first are   2   to   7 . Number of unfavorable outcomes Number of favorable outcomes = = 6 21 = 2 7
GUIDED PRACTICE for Examples 1 and 2 Odds in favor You choose a card at random from a set of cards  numbered  1  to  24 . Find the  odds  in favor of the event. SOLUTION 6.  You choose a  10 . = Number of unfavorable outcomes Number of favorable outcomes = 1 23
GUIDED PRACTICE for Examples 1 and 2 7.   You choose an odd number. Odds in favor No. of odd numbers  from  1  to  24  are  12 SOLUTION You choose a card at random from a set of cards  numbered  1  to  24 . Find the  odds  in favor of the event. = Number of unfavorable outcomes Number of favorable outcomes = 12 12 = 1/1
GUIDED PRACTICE for Examples 1 and 2 No. of even numbers greater than  8  between  1  to  24  are  8  Odds in favor 8.   You choose an even number greater than   8 . SOLUTION You choose a card at random from a set of cards  numbered  1  to  24 . Find the  odds  in favor of the event. = Number of unfavorable outcomes Number of favorable outcomes 1 2 = 8 16 =
EXAMPLE 3 Finding Odds Using Probability Basketball Sean makes  65%  of his free throws. What are Sean’s  odds  in favor of making a free throw? SOLUTION Odds Write percents as decimals . Subtract. = 0 . 65 0 . 35 0 . 65 1 – 0 . 65 =
EXAMPLE 3 ANSWER Sean’s odds in favor of making a free throw are  13  to  7 . Finding Odds Using Probability or 13 7 Multiply by  . Then simplify. 100 100 = 65 35 ,
GUIDED PRACTICE for Example 3 Odds Subtract. Write percents as decimals SOLUTION ANSWER Sean’s odds in favor of making a free throw are  17  to  3. = 0.85 0.15 85 15 = 17 or 3 Suppose Sean makes  85 % of his free throws. What are Sean’s odds in favor of  making a free throw? 9. 0.85 1 – 0.85 = Multiply by  .  T hen simplify . 100 100
[object Object],[object Object]

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Babel Compiler - Transforming JavaScript for All Browsers.pptx
 

12.7 probability and odds 1

  • 1. Lesson 12.7 , For use with pages 685-689 1. a dog 2. a cat or rabbit An animal shelter has 12 dogs, 15 cats, 2 snakes, and 3 rabbits. Find the probability of randomly selecting an animal.
  • 2. Lesson 12.7 , For use with pages 685-689 1. a dog 2. a cat or rabbit An animal shelter has 12 dogs, 15 cats, 2 snakes, and 3 rabbits. Find the probability of randomly selecting an animal. ANSWER 3 8 ANSWER 9 16
  • 3. Probability and Odds Section 12.7 P. 685
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  • 7. EXAMPLE 1 Finding Probabilities Gifts a. What is the probability that your name is chosen? b. What is the probability that your name is not chosen? You and seven friends contribute money for a gift. Everyone’s name is put in a hat. The person whose name is chosen at random picks the gift.
  • 8. EXAMPLE 1 SOLUTION a. P ( your name is chosen ) b. P ( your name is not chosen ) = 1 – P ( your name is chosen ) . Finding Probabilities = Number of favorable outcomes Number of possible outcomes = 1 8 = 1 – 1 8 = 7 8
  • 9. GUIDED PRACTICE for Examples 1 and 2 You are given the probability that event A will occur. Find the probability that event A will not occur. ANSWER P (A) will not occur = 1 – P (A) 1. P ( A ) = 3 4 3 = 1 – 4 = 1 4
  • 10. GUIDED PRACTICE for Examples 1 and 2 = 1– 0.45 = 0.55 You are given the probability that event A will occur. Find the probability that event A will not occur. 2. P (A) = 0 . 45 ANSWER P (A) will not occur = 1 – P (A)
  • 11. GUIDED PRACTICE for Examples 1 and 2 You are given the probability that event A will occur. Find the probability that event A will not occur. 3. P (A) = 32% ANSWER P (A) will not occur = 1– 32% = 68% = 1 – P (A)
  • 12. GUIDED PRACTICE for Examples 1 and 2 P ( drawings on S ) SOLUTION The 11 letters in the word MISSISSIPPI are each written on pieces of paper and randomly chosen from a bag. What is the probability of drawing an S from the bag? What is the probability of not drawing an S? 5. = 4 11 Number of favorable outcomes Number of possible outcomes =
  • 13. GUIDED PRACTICE for Examples 1 and 2 P (Not drawings on S) = 1 – 4 11 = 7 11 1 – P (drawings on S) =
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  • 16. EXAMPLE 2 Finding Odds Vacation Survey You do a survey asking your class to rank three vacation choices Results for “the beach” are shown at the right. What are the odds in favor of a randomly chosen student from your class ranking a beach vacation first?
  • 17. EXAMPLE 2 The beach was ranked first by 6 students, so there are 6 favorable outcomes. It was ranked second by 12 students, and ranked third by 9 students, so there are 12 +9 = 21 unfavorable outcomes. Odds in favor SOLUTION Finding Odds ANSWER The odds in favor of a randomly chosen student ranking a beach vacation first are 2 to 7 . Number of unfavorable outcomes Number of favorable outcomes = = 6 21 = 2 7
  • 18. GUIDED PRACTICE for Examples 1 and 2 Odds in favor You choose a card at random from a set of cards numbered 1 to 24 . Find the odds in favor of the event. SOLUTION 6. You choose a 10 . = Number of unfavorable outcomes Number of favorable outcomes = 1 23
  • 19. GUIDED PRACTICE for Examples 1 and 2 7. You choose an odd number. Odds in favor No. of odd numbers from 1 to 24 are 12 SOLUTION You choose a card at random from a set of cards numbered 1 to 24 . Find the odds in favor of the event. = Number of unfavorable outcomes Number of favorable outcomes = 12 12 = 1/1
  • 20. GUIDED PRACTICE for Examples 1 and 2 No. of even numbers greater than 8 between 1 to 24 are 8 Odds in favor 8. You choose an even number greater than 8 . SOLUTION You choose a card at random from a set of cards numbered 1 to 24 . Find the odds in favor of the event. = Number of unfavorable outcomes Number of favorable outcomes 1 2 = 8 16 =
  • 21. EXAMPLE 3 Finding Odds Using Probability Basketball Sean makes 65% of his free throws. What are Sean’s odds in favor of making a free throw? SOLUTION Odds Write percents as decimals . Subtract. = 0 . 65 0 . 35 0 . 65 1 – 0 . 65 =
  • 22. EXAMPLE 3 ANSWER Sean’s odds in favor of making a free throw are 13 to 7 . Finding Odds Using Probability or 13 7 Multiply by . Then simplify. 100 100 = 65 35 ,
  • 23. GUIDED PRACTICE for Example 3 Odds Subtract. Write percents as decimals SOLUTION ANSWER Sean’s odds in favor of making a free throw are 17 to 3. = 0.85 0.15 85 15 = 17 or 3 Suppose Sean makes 85 % of his free throws. What are Sean’s odds in favor of making a free throw? 9. 0.85 1 – 0.85 = Multiply by . T hen simplify . 100 100
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