Chap003 - Chapter 3: Probability CHAPTER 3-Probability 3.1...

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Chapter 3: Probability CHAPTER 3—Probability 3.1 See pages 121 to 125 in text. 3.2 The probability of an outcome must be between 0 and 1. The probabilities of all the experimental outcomes must sum to 1. 3.3 a. b. (1) AA (2) AA , BB , CC (3) AB , AC , BA , BC , CA , CB (4) AA , AB , AC , BA , CA (5) AA , AB , BA , BB c. Each outcome has probability (1) (2) (3) (4) (5) 35
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Chapter 3: Probability 3.4 a. b. (1) BBB , GGG (2) BGG , GBG , GGB (3) GBB , BGB , BBG (4) BBB c. Each outcome has probability (1) (2) (3) (4) 3.5 a. Sample space outcomes: PPPP , PPPN , PPNP , PPNN , PNPP , PNPN , PNNP , PNNN , NPPP , NPPN , NPNP , NPNN , NNPP , NNPN , NNNP , NNNN b. (1) PPPN , PPNP , PNPP , NPPP (2) PPNN , PNPN , PNNP , PNNN , NPPN , NPNP , NPNN , NNPP , NNPN , NNNP , NNNN (3) All outcomes except NNNN (4) PPPP , NNNN c. Each outcome has probability (1) (2) (3) (4) 3.6 a. b. c. d. 36 260 ) 5528 )( 047 (. 047 . 000 , 300 , 8 500 , 386 = =
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Chapter 3: Probability e. 3.7 The sum of the probabilities of the individual outcomes sum to 1. P ( E ) = 1 – (.2 + .15 + .3 + .2) = .15 3.8 Events are mutually exclusive is they have no sample space outcomes in common. The two events cannot occur simultaneously. 3.9 Complement of A: Event A does not occur A U B: the union of events A and B (A or B) A B: the intersection of events A and B (A and B) A B: Event A does not occur and Event B does not occur 3.10 a. R = all diamonds and hearts B = all clubs and spades A = there are 4 aces, one of each suit N = there are 4 nines, one of each suit D = all diamonds, 13 cards C = all clubs, 13 cards b. (1) R and A are not mutually exclusive because there is an ace of diamonds and an ace of hearts. (2) R and C are mutually exclusive because clubs are black. (3) A and N are mutually exclusive because there are no aces that are also nines. (4) N and C are not mutually exclusive because there is a nine of clubs. (5) D and C are mutually exclusive because there are no diamonds that are also clubs. 3.11 a. (1) (2) (3) b. M Total V 1,000 3,000 4,000 1,500 4,500 6,000 Total 2,500 7,500 10,000 c. (1) (2) (3) 3.12 There are 24 total cards. a. 37 337 ) 5528 )( 061 (. 061 . 000 , 300 , 8 100 , 505 = =
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Chapter 3: Probability b. c.
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Chap003 - Chapter 3: Probability CHAPTER 3-Probability 3.1...

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