2. Probability The likelihood that an event will occur. A number from 0 to 1 As a percent from 0% to 100%

4. Theoretical Probability: The number of ways that an event can occur, divided by the total number of outcomes in the sample space. Example: Find the probability of flipping a heads on a coin. Example: Find the probability of getting an even number when you roll a die.

5. A compound event combines two or more events, using the word and or the word or. Compound Probability

6. AND: Means you MULTIPLY A T M nd hen ultiply

7. OR: Means you ADD OAROR D

8. If two or more events cannot occur at the same time they are termed mutually exclusive. They have no common outcomes. Overlapping events have at least one common outcome. Mutually Exclusive vs. Overlapping

9. For mutually exclusive events, the probability that one or the other of several events will occur is found by summing the individual probabilities of the events: P(A or B) = P(A) + P(B) A Venn diagram is used to show mutually exclusive events. Mutually Exclusive Events

10. 1) Find the probability that a girl’s favorite department store is Macy’s or Nordstrom. 2) Find the probability that a girl’s favorite store is not JC Penny’s. Mutually Exclusive Events Macy’s0.25 Saks0.20 Nordstrom0.20 JC Pennys0.10 Bloomingdale’s0.25 0.45 0.90

11. 123456 1 2 3 4 5 6

12. 123456 1 234567 2 345678 3 456789 4 5678910 5 6789 11 6 789101112

13. 3) When rolling two dice, what is probability that your sum will be 4 or 5? Mutually Exclusive Events 7/36 123456 1 234567 2 345678 3 456789 4 5678910 5 6789 11 6 789101112

14. 4) When rolling two dice, what is the probability that your sum will be an even number or a five? Mutually Exclusive Events 11/18 123456 1 234567 2 345678 3 456789 4 5678910 5 6789 11 6 789101112

15. 5) When rolling two dice, what is the probability that your sum will be a number less than 4 or greater than 10? Mutually Exclusive Events 1/6 123456 1 234567 2 345678 3 456789 4 5678910 5 6789 11 6 789101112

18. 6) What is the probability of picking a queen or an ace from a deck of cards Mutually Exclusive Events 2/13

19. 7) What is the probability of picking a face card or an ace from a deck of cards? Mutually Exclusive Events 4/13

20. 8) What is the probability of picking a red or a black card from a deck of cards? Mutually Exclusive Events 1

21. 9) What is the probability of picking an even card or a face card from a deck of cards? Mutually Exclusive Events 8/9

22. Intersection of 2 Events Denoted by the symbol: A B Is the event containing all elements that are COMMON to both A and B

23. events have at least one common outcome. You will have to SUBTRACT out the overlapping amount Overlapping

24. Probability that non-mutually exclusive events A and B or both will occur expressed as: P(A or B) = P(A) + P(B) – P(A B) Overlapping Events

25. 10) Find the P(A B) Overlapping Events 29/48

26. 11) Find the P(female or FL) out of the committee members listed in the table. Example FemMale FL84 AL63 GA73

27. 12) Find the P(King Clubs)? Example

28. 13) When rolling 2 dice, what is the probability of getting an even sum or a sum greater than 10? 123456 1 234567 2 345678 3 456789 4 5678910 5 6789 11 6 789101112

29. The complement of an event is the set of outcomes in the same sample space that are NOT included in the outcomes of the event. The complement is denoted with the word “not,” or with the ' or symbol. Complementary Events

30. 14) What is the probability not being in the band or a club? Complementary Events 1 - 29/48 =19/48

31. Complementary Events 1 - 26/454 = 214/227 15) What is the probability that a female does not play volleyball?

32. Class Example A = people in a Science Class B = people in an English Class A B

33. Homework!