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13.4 Probabilities of Compound Events.notebook13.4 Date:LT: I can calculate probabilities of compound events.Compound event Combining two or more events, using the word“and” or the word “or.”“or” Mutually exclusiveevents Overlapping events “and” independent events dependent events May 29, 2013nbp.13

13.4 Probabilities of Compound Events.notebookMay 29, 2013IFYou downloaded 6 songs. Yourandomly choose 4 of thesesongs to play. Find theprobability that you play thefirst 4 songs you downloadedin the order in which youdownloaded them.You win 5 Tickets to a concert.In how many ways can youchoose 4 friends out of a groupof 9 to take with you to theconcert?

13.4 Probabilities of Compound Events.notebook1 45 89 12Turn inTurn in13 16May 29, 2013

13.4 Probabilities of Compound Events.notebookMay 29, 201313.3 p.858(1 10, 15 20, 23 26)2. combination, order is notimportant. Permutation, orderIS important16. Combinations orderstudents picked does notmatter; 8,214,570 groups4. Each combinations isduplicated. Since order doesn'tmatter, AB and BA are thesame.18. Combinations order youanswer ?'s doesn't matter; 45ways6. 520. 6Pr 6Cr8. 110. 22024)3726)14351870

13.4 Probabilities of Compound Events.notebookMay 29, 2013nbp.1313.4 Date:LT: I can calculate probabilities of compound events.Compound event Combining two or more events, using the word“and” or the word “or.”“or” Mutually exclusiveevents Events with no common outcomes.‐Cannot happen simultaneously.Event A Event BOverlapping events Events with at least one common outcome.‐Can happen simultaneously.Event A“and” independent events dependent events The occurrence of one event has noaffect on the outcome of the other.The occurrence of one eventaffect the outcome of the other.Event B

13.4 Probabilities of Compound Events.notebookMutually Exclusive Events: Events with no common outcomes. Cannot happen simultaneously.May 29, 2013Overlapping Events: Events with at least one common outcome. Can happen simultaneously.

13.4 Probabilities of Compound Events.notebookMay 29, 2013You roll a number cube.Find the probability that you roll a 2 or an odd number.Can the two outcomes happen at the same time?(Mutually exclusive events Overlapping events)P(A or B) P(A) P(B)P(2 or odd) P(A or B) P(A) P(B) P(A and B)

13.4 Probabilities of Compound Events.notebookMay 29, 2013You roll a number cube. Find the probabilitythat you roll an even or a prime number.Can the two outcomes happen at the same time?(Mutually exclusive events Overlapping events)P(A or B) P(A) P(B)P(A or B) P(A) P(B) P(A and B)P(even or prime)

13.4 Probabilities of Compound Events.notebookIndependent Events: The occurrence of one event has noaffect on the outcome of the other.May 29, 2013Dependent Events: The occurrence of one event hasaffect the outcome of the other.What is the probability of choosing a green marble and then a blue marble from the bag shown?

13.4 Probabilities of Compound Events.notebookMay 29, 2013A box contains 2 blue pens and 5 red pens. You choose onepen at random, do not replace it, then choose a second pen atrandom. What is the probability that both pens are blue?Determine if there is replacement.(Independent events Dependent events)P(A and B) P(A) P(B)P(blue and blue) P(A and B) P(A) P(B given A)

13.4 Probabilities of Compound Events.notebookMay 29, 2013A box contains 2 blue pens and 5 red pens. What is theprobability that both pens are blue, if the first pen is replaced?Determine if there is replacement.(Independent events Dependent events)P(A and B) P(A) P(B)P(blue and blue) P(A and B) P(A) P(B given A)

13.4 Probabilities of Compound Events.notebookMay 29, 2013nbp.14CW1) Complete Guided Practice1 32) Check answers3) Raise hand (Spaeth )4) Complete HW1 21) 132)33a)23161213b) 655

13.4 Probabilities of Compound Events.notebookHWMay 29, 2013nbp.15-1613.4p.864(1-3, 5, 7, 9-16, 18-19, 21a,24ab, 26-27, 30-34)

13.4 Probabilities of Compound Events.notebookMay 29, 201313.4 p.864 (1 3, 5, 7, 9 16, 18 19, 21a, 24ab, 26 27, 30 34)2. Overlapping Events have one24. a) about 0.092or more outcomes in common,b) about 0.58mutually exclusive events haveno common outcomes10. Dependent, 1/2126. 35/5712. Dependent, 2/1530. 6014. 17/3232. 116. 1/3118. 30%34. 45 combos

13.4 Probabilities of Compound Events.notebookMay 29, 2013IMPORTANT NOTES: "or" situation add the probabilitiesMutually Exclusive EventsOverlapping Events "and" situation multiply the probabilitiesIndependent EventsDependent Events

13.4 Probabilities of Compound Events.notebook May 29, 2013 13.4 Date: LT: nbp.13 I can calculate probabilities of compound events. Compound event Mutually exclusive events Overlapping events independent events dependent events Combining two or more

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