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MATH 10 Introduction to Probability .pptx
- 1.
- 2. Probability Probability is usedto describe how likely or unlikely it is that something will happen. Probability may be given in fraction, decimal, or percent.
- 3. Try This! The SexbombGirls is planning a concert tour in three cities – Manila, Cebu, and Davao. In how many ways they can arrange their schedule?
- 4. TOUR 3 TOUR 4 TOUR 5 TOUR 1 TOUR 2 TOUR 6 Davao Davao CebuManila Manila Cebu Cebu Manila Davao Cebu Davao Manila Manila Cebu Manila Davao Cebu Davao POSSIBLE SCHEDULE
- 5. Motivation Using a treediagram, let us determine the outcomes of an experiment of tossing a single coin twice.
- 6. Let us tossa single coin twice
- 7. H Let’s say thatwe got a HEAD on the first toss
- 8. H And got anotherHEAD for the second toss H
- 9. H So our firstpossible outcome would be HEAD and HEAD or HH H HH
- 10. H Let’s say thatwe got a HEAD on the first toss H HH
- 11. H but we gota TAIL on the second toss T H HH
- 12. H T HT So oursecond possible outcome would be HEAD and TAIL or HT H HH
- 13. T HT Let’s saythat we got a TAIL on the first toss H T H HH
- 14. T HT but wegot a HEAD on the second toss H T H HH H
- 15. T HT So ourthird possible outcome would be TAIL and HEAD or TH H T H HH H TH
- 16. T HT Let’s saythat we got a TAIL on the first toss H T H HH H TH
- 17. T HT And gotanother TAIL for the second toss H T H HH H TH T
- 18. T HT So ourfourth possible outcome would be TAIL and TAIL or TT H T H HH H TH T TT
- 19.
- 20. POSSIBLE OUTCOMES HH -HEAD, HEAD HT - HEAD, TAIL TH - TAIL, HEAD TT - TAIL, TAIL
- 22. QUESTIONS a. As illustratedin the above diagram, what are the outcomes of tossing a single coin twice? b. If a coin is tossed once, how many possible outcomes? c. What are the possible outcomes of tossing a coin once? d. What do you call the set of all possible outcomes of an experiment?
- 23.
- 24. TERMS AND DEFINITION Sample Space theset of all possible outcomes of an experiment.
- 25. TERMS AND DEFINITION Sample Space theset of all possible outcomes of an experiment. Example: Sexbomb Girls concert tour Set of possible outcomes:
- 26. TERMS AND DEFINITION asubset of a sample space or simply part of the entire Sample Space Event
- 27. TERMS AND DEFINITION asubset of a sample space or simply part of the entire Sample Space Event: The tour starts in Manila. Event
- 28. TERMS AND DEFINITION itconsists of a single outcome or a single event that cannot be further broken down into smaller events. Simple Event
- 29. TERMS AND DEFINITION itconsists of a single outcome or a single event that cannot be further broken down into smaller events. Simple Event: The tour schedule is Manila–Cebu-Davao. Simple Event
- 30. TERMS AND DEFINITION itconsists of a single outcome or a single event that cannot be further broken down into smaller events. Simple Event: The tour schedule is Manila–Cebu-Davao. Compound Event
- 31. TERMS AND DEFINITION Eventswhich consist of more than one outcome. A compound event is any event combining two or more simple events. Compound Event: The tour ends in Compound Event
- 32. TERMS AND DEFINITION Sample Space theset of all possible outcomes of an experiment. Example: Rolling a die Set of possible outcomes: 1, 2, 3, 4, 5, 6
- 33. TERMS AND DEFINITION Event asubset of a sample space or simply part of the entire Sample Space Event: Getting an even number in rolling a die once
- 34. TERMS AND DEFINITION itconsists of a single outcome or a single event that cannot be further broken down into smaller events. Simple Event: Getting 2 in rolling a die once Simple Event
- 35. TERMS AND DEFINITION Eventswhich consist of more than one outcome. A compound event is any event combining two or more simple events. Compound Event: Getting a number Compound Event
- 36. Group Activity Consider thegiven situation. Use the tree diagram below in answering the questions that follow.
- 37. Group Activity Consider thesituation below. Use the tree diagram given below in answering the questions that follow.
- 38. Joshua played the roulettewheel at a fiesta carnival. If he has a chance to spin the wheel 5 times, what is the experimental probability that he LET US STUDY THIS EXAMPLE:
- 39. Spin Let us perform the experiment byclicking the spin button.
- 40. Stop Click the stop button to stopthe wheel spinning
- 41.
- 42. Spin Let us perform the experiment byclicking the spin button.
- 43. Stop Click the stop button to stopthe wheel spinning
- 44.
- 45.
- 46. Spin Let us perform the experiment byclicking the spin button.
- 47. Stop Click the stop button to stopthe wheel spinning
- 48.
- 49.
- 50. Spin Let us perform the experiment byclicking the spin button.
- 51. Stop Click the stop button to stopthe wheel spinning
- 52.
- 53.
- 54. Spin Let us perform the experiment byclicking the spin button.
- 55. Stop Click the stop button to stopthe wheel spinning
- 56.
- 57. CATEGORY TALLY TOTAL WIN LOSE TOTAL TALLYBOARD 3 2 5
- 58. P = CALCULATE THE EXPERIMENTALPROBABILITY USING THIS FORMULA e number of times the event occurs total number of trials
- 59. P = Therefore, theexperimental probability that Joshua will win is 3/5. e number of times the event occurs total number of trials P = e 3 5
- 60.
- 61. Resource Page Use theseillustrations in your presentation. Happy designing! Don't forget to delete this page before presenting.
- 62. Press these keyswhile on present mode! B for blur D for drumroll O for bubbles U for unveil C for confetti M for mic drop Q for quiet Any number from 0-9 for a timer