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37_20110411mon_mgf1106_86367_p11

37_20110411mon_mgf1106_86367_p11 - o4.1 J memos 86 W Ava...

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Unformatted text preview: o4 -- .1! J memos 86%? W Ava @ ME— 1 g H 5 ?:€°BA9‘L‘TY W/ ”'6 PCP” ui‘émuvwxousé fagi’a’ié CMEWN‘ONS @635) 7. [3H 011: We cow 65m cafe-rugs I} AM- 0M. Em 1M [C 9653 I am am Mg ( kc word leads +0 D PCfPfu‘étrhfng _the {EM\ “AI-”3 “'5’! “’76 I: “p, tr “Rd “E“ .. ah. womlg ,, 5 [e lfer buts/d9) asmq each ltf+er mfg mice 1’ f d [3 mm . Pm fi #3 gjgzmggen £100“? mafia the MEG mid ‘s the pro bl 3‘3 65) C” 6‘9 ‘Mt firfi‘L 19”“ “"4 “/4 45 1’33 333w”: leHfi‘? £313 Q who} am fhe WTAL number a? Fossgblc 5.19”“ words . = 5x4333‘2—"l [email protected] «if 5— 110345;,” .3; jug-3L J} @ Head How many 'wbmlc" safisf‘y crikfiom (-11%) ? £4. Hflfifl C A "TY—"”77"" C A g number 6:0 was CL-A— g G @ PCC”"A'>" {Mal (20 [E] Biample: Prababifh‘tj +C¢mbo. Ptck 6 numbers hug; fli Q Haw mm digerewl: “Flake" Combos are {fiere 7 253Cg= 22 957 430 1 How man “winners” are flare 7 ‘1 . S #Nm '- , W cm ' El POM) #hfal”m a iooooo436581737 Wlnm'ng fife LOT T O . 1 | Example: Mg Neighborhood Bmmmmj cm, “Wages Em? .. .... 9 men and to women. - We 0-“ “313 \‘b randomly selecf 3 members fa afltad a. r . long Conference. PM HA: probabilif‘j W+ 'flle gravy will cbmszfl a? a) all 3 women. {9) all 3 mm. c) 2 men am! 1 wbmn. d) 4 man and gwomen. 3/20 am! Sea: A" K“ {a C3 @ P(3 women) 2 0.14?) P(3men)= 0.069, F{2M,’W>: 034' p(IM,2N) = 0-44” SECTlON 11.5 Probability with the Fundamental Counting Principle. Permutations, and Combinations 639 Now we can fill in the numbers in the numerator and the denominator of our probability fraction. j; o P 1 man 2 women = . . . ( ’ ) total number of possrble combinations ,1ng one man and two women is 2%. O A club consists of six men and four women. Three members are selected at random to attend a conference: Find the probability that the selected group consists of a. three men. b. two men and one woman. 7 . IffEXERClSE SET 11.5 oooeeo , 3 'Practice and Application Exercises EsjA group consists of four men and five women. Three " people are selected to attend a conference. ' a. In 110w many ways can three pebple be selected from - this group of nine? . 9C3 7- 34 ' person arrives at a different time. (2’07 a. In how many ways can they arrive? gift :31 12:1: f -'b. In how many ways can three women be selected from the five women? 5 C 3 :40 1. Martha, Lee, Nancy, Paul, and Armando have all been invited to a dinner party. They arrive randomly and each h. ES??? 11131? wags‘crg Mafiflfi‘rgf and Armando c. Find the probability that the selected ro will consist ‘ . E _.'_l -«—— —- A *— . . . W ofall women. (76¢) : til—$914 132422" 0- Find the probability that Martha WI“ arrive fimt and l 6. Apolitical discussion group consist? of five e ocrats and iv .— 1: ,__fl. Armando last. i309”: J A Md) "‘ 6%?" 20 six Republicans. Four people are selected to attend a . Three men and three women line up at a checkout counter *— conference. in a store. 6[ : (i229 i a. In how many ways can four people be selected from this a. In how many ways can they line up? ' group of eleven? h. In how many ways can they line up if the first person in b. In how many ways can four Republicans be selected line is a woman, and then the line alternates by , from the six Republicans? gender—that 15 agomt’jfil, a Ea“! a woman—,3 man and c. Find the probability that the selected group will consist so on? i “(A ’ _ '___' “L L I a of all Republicans. c. Find the probability that the first person in line is a 7 To play the California lottery, a person has to correctly woman and the line alternates by gender. P( E) : 25‘” £7— select 6 out of 51 numbers, paying $1 for each six—number . h 120 , . Six stand-up comics, A, B, C, D, E, and F, are to performij , selection. If the six numbers plcked are the same as the on a single evening at a comedy club. The order of ‘ ”" ones drawn by the lottery, mountains of money are performance is determined by random selection. Find the *" bestowed. What is the probability that a person with one ‘ probability that 59mm {MPH 53' E 3: _‘_i_ .2 E J. combination of six numbers will win? What is the probabil- 3. Comic B will perform first. 4 E i %:[_g: P(E)ity of winning if 100 different lottery tickets are purchased? b, Comic c will perform fifth and comic B will peIfOEQ 8. A state lottery is designed so that a player chooses five last. __. __ -_ g. 9 E _ 24, PO?) f 2% # it numbers from 1 to 30 on one lottery ticket. What is the . . _, . . " 93° babilit that a la er with one letter r ticket will win? 0. th 1 "Had : pro y p y . 5 The comedians Will perfor m e f0 lowmg or er What is the probability of winning if 100 different lottery .: i _ J.- EB, C’A’B’E Pg) 9‘40 WA) 5“};- ) W5) “ 3 tickets are purchased? 3 . @ Comic A or comic B will per o’rTrfiirst. PMWB) - ' " A box contains 25 transistors, 6 of which are defective. If 4- Seven performers, A, B, C, D,E,F, and G, are to appear in a . . . fund raiser. The order of performance is determined by 6 are 561%th at random, find the probability that random selection. Find the probability that a. D will perform first. a. all are defective. b. none are defective. b. B will perform sixth and B will perform last. 10. A committee of five people is to be formed from six c. They will perform in the following order: C, D, B, A, G, lawyers and seven teachers. Find the probability that F, E. a. all are lawyers. d. F or G will perform first. in. none are lawyers. ...
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