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Transparency 1. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 1-4b. Objective. Find the probability of a simple event. Example 1-4b. Vocabulary. Outcome. One possible result of a probability event. Example 1-4b. Vocabulary. Sample space.

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  1. Transparency 1 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 1-4b Objective Find the probability of a simple event

  4. Example 1-4b Vocabulary Outcome One possible result of a probability event

  5. Example 1-4b Vocabulary Sample space The set of all possible outcomes of a probability experiment

  6. Example 1-4b Vocabulary Random Outcomes occur at random if each outcome is equally likely to occur

  7. Example 1-4b Vocabulary Simple event A specific outcome or type of outcome

  8. Example 1-4b Vocabulary Probability The chance that some event will happen

  9. Example 1-4b Vocabulary Complementary events The events of one outcome happening and that outcome not happening are complementary events

  10. Lesson 1 Contents Example 1Find Probabilities Example 2Find Probabilities Example 3Find Probabilities Example 4Probability of a Complementary Event

  11. Example 1-1a A bag contains 5 blue marbles, 10 red marbles, and 10 yellow marbles. A marble is picked at random. What is the probability the marble is yellow? What is the probability the marble is yellow? Write probability statement Numerator is in probability statement Denominator is “total numbers possible” 1/4

  12. Example 1-1a A bag contains 5 blue marbles, 10 red marbles, and 10 yellow marbles. A marble is picked at random. What is the probability the marble is yellow? What is the probability the marble is yellow? Replace “yellow marbles” with 10 P(yellow) = Count total marbles Answer: P(yellow) = 5 + 10 + 10 = 25 Simplify fraction with calculator 1/4

  13. Example 1-1b A bag contains 3 green marbles, 7 purple marbles, and 15 black marbles. A marble is picked at random. What is the probability the marble is black? Answer: P(black) = 1/4

  14. Example 1-2a A bag contains 5 blue marbles, 10 red marbles, and 10 yellow marbles. A marble is picked at random. What is the probability the marble is blue or red? What is the probability the marble is blue or red Write probability statement Numerator is in probability statement Denominator is “total numbers possible” 2/4

  15. Example 1-2a A bag contains 5 blue marbles, 10 red marbles, and 10 yellow marbles. A marble is picked at random. What is the probability the marble is blue or red? What is the probability the marble is blue or red Replace “blue marbles” with 5 P(blue or red) = Replace “red marbles” with 10 Count total marbles 5 + 10 + 10 = 25 2/4

  16. Example 1-2a A bag contains 5 blue marbles, 10 red marbles, and 10 yellow marbles. A marble is picked at random. What is the probability the marble is blue or red? What is the probability the marble is blue or red Follow Order of Operations P E MD AS P(blue or red) = P(blue or red) = Add numerator Bring down denominator 2/4

  17. Example 1-2a A bag contains 5 blue marbles, 10 red marbles, and 10 yellow marbles. A marble is picked at random. What is the probability the marble is blue or red? What is the probability the marble is blue or red P(blue or red) = Simplify fraction with calculator P(blue or red) = Answer: P(blue or red) = 2/4

  18. Example 1-2b A bag contains 3 green marbles, 7 purple marbles, and 15 black marbles. A marble is picked at random. What is the probability the marble is green or purple? Answer: P(green or purple) = 2/4

  19. Example 1-3a A bag contains 5 blue marbles, 10 red marbles, and 10 yellow marbles. A marble is picked at random. What is the probability the marble is white? What is the probability the marble is white White Marbles P(white) = Total Number of Marbles Write probability statement Numerator is in probability statement Denominator is “total numbers possible” 3/4

  20. Example 1-3a A bag contains 5 blue marbles, 10 red marbles, and 10 yellow marbles. A marble is picked at random. What is the probability the marble is white? What is the probability the marble is white White Marbles P(white) = Total Number of Marbles Replace “white marbles” with 0 since there are no white marbles 0 P(white) = 25 Count total marbles 5 + 10 + 10 = 25 3/4

  21. Example 1-3a A bag contains 5 blue marbles, 10 red marbles, and 10 yellow marbles. A marble is picked at random. What is the probability the marble is white? What is the probability the marble is white White Marbles P(white) = Total Number of Marbles 0 P(white) = Simplify fraction with calculator 25 Answer: P(white) = 0 3/4

  22. Example 1-3b A bag contains 3 green marbles, 7 purple marbles, and 15 black marbles. A marble is picked at random. What is the probability the marble is red? Answer: P(red) = 0 3/4

  23. Example 1-4a PHONE LISTINGS One town has 10,000 phone numbers in use. Of these, 500 are not listed in the local phone book. What is the probability that the phone number you are looking for is listed in the phone book? What is the probability that the phone number you are looking for is listed in the phone book Write probability statement Numerator is in probability statement Denominator is “total numbers possible” 4/4

  24. Example 1-4a PHONE LISTINGS One town has 10,000 phone numbers in use. Of these, 500 are not listed in the local phone book. What is the probability that the phone number you are looking for is listed in the phone book? What is the probability that the phone number you are looking for is listed in the phone book Given 500 not listed P(listed) = Must subtract from total numbers to find listed numbers 9,500 10,000 - 500 = 4/4

  25. Example 1-4a PHONE LISTINGS One town has 10,000 phone numbers in use. Of these, 500 are not listed in the local phone book. What is the probability that the phone number you are looking for is listed in the phone book? What is the probability that the phone number you are looking for is listed in the phone book Total phone numbers is 10,000 P(listed) = 4/4

  26. Example 1-4a PHONE LISTINGS One town has 10,000 phone numbers in use. Of these, 500 are not listed in the local phone book. What is the probability that the phone number you are looking for is listed in the phone book? What is the probability that the phone number you are looking for is listed in the phone book Since large fractions do not work in calculator, cancel out 2 zeros in numerator and denominator P(listed) = 95 P(listed) = 100 4/4

  27. Example 1-4a PHONE LISTINGS One town has 10,000 phone numbers in use. Of these, 500 are not listed in the local phone book. What is the probability that the phone number you are looking for is listed in the phone book? What is the probability that the phone number you are looking for is listed in the phone book Simplify using a calculator 95 P(listed) = 100 Answer: P(listed) = 4/4

  28. Example 1-4b * SCHOOLATTENDANCEOakdale Junior High School has a total enrollment of 670 students. Of these, 45 are absent today. Suppose a student’s name is picked at random. What is the probability that the student picked is absent today? Answer: P(student absent) = 4/4

  29. End of Lesson 1 Assignment

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