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Unformatted text preview: CountinglProbability Unit
Applications Handout — Use after 11.7 Use this table for #1. A survey of 100 TCC students gave the following results. A. Use this information for questions 2 — 4. A box of candy containsA pieces of dark chocolate.
_§ pieces of miik chocolate, _§ pieces of white chocolate, and a caramels. You are blindfolded (no peeking, D 2. A _A_3. a t d k not drink milk, giyen that he is a male?
C. 53 E 7
10 D. 5 . . . _ S ‘ ,l of: (the, 7’éff
gig; loghgndllng) and you select two pieces at random.(:w:€f:b;.f
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What is the probability that you select ﬁrst a caramel and then a white P e [age[1,91%
chocolate? (without replacement) “'
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95 . 20 10 E‘I
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What is the probability you select two milk chocol 3? (without \ grind “hm. “4
replacement) 3 «140% its” 13PM" J W” Qﬁ’Semd W
i B i _9_ a 3 x .1 {a
190 ‘ 200 400 380 260 :9 19°
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What IS the probability that you select first a dark chocolate and then a 4,4 I g 3,
milk chocolate? (ﬂiihlreplacement) We”?! “0+ 83MB ? f... ——" 53‘
3 ' B 7 @ 3 D 1 {256 20 id
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You draw one card from a standard deck of 52. What is the probability ,
that the card is a ten or a three? (4 + 4) _ 8 _,
1 1 2 ' g9: ‘
W B. — — o. o 51
169 13 @ 13
The probability that a personal computer owner has acces to the Internet ¥ (MK!
is %. What are the odds agairﬁt‘ a personal computer owner having _. 2 3W5 “2‘65; 5 “a?” ’ ave
access to the Internet? 55 d” access
2:37 B. 37:2 0. 2:35 35:2 " 3 £5; 2" :
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(does mi WWMCH)‘ Applications continued D 7.
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D 10.
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C 11
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5 12
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C 13..
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B 14.
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are 90: dabble, m1
gig: are. (0 9,01%), ( a, 3))(it gigJ, = 5 a? rolling 6
5 watt Bu? me @515) has You throw a pair of fair dice. What is the probability of throwing doubles, been (:00an
((1,1), (2,2), etc.) or a sum of six? Use the dice table in the text on 0585" we} 0 to help you. A 633 5,, ﬂeet 5*” 11 1 1 ’ 5 . . «m a. — c. — — is H 4 r {0 36 6 . 2 18 5, out at 35 pmgiék rung
At T00, 90% of ali full time instructors have a personal computer in their 2L0” 5
ofﬁce and of that group 70% check their email every day. If one full time P65)“ 35 18
T00 instructor is selected at random, what is the probability that he/she has a personal _ puter in their office and checks their email every day?
0.07 0.63 C. 0.27 D. 0.37 One card is drawn from a standard deck of 52. What is the probability that
it is a club, given that it is aggeen? [39(59): [:(dula I 62>
1 J. 3.12 0% Z :5, 13 T3
0:8 ‘
The probability that Carol wilt buy a new car is 0.2, the probability that f? éﬁﬁi 0;;
Me 0: . Geralyn will buy a new car is 0.3, and the probability that Liz will buy a new ,4 ,,
car is 0.1. What is the probability that none of them will buy a new car? ,9
(Assume independence) ,9 K i? " 0.5 a. 0.006 c. 0.994 0.504
. . . I'd] 7” 85 +5 :88
The gggs Lg; passmg MGF 2202 the ﬁrst time are 85:3. What is the 77’
probability that T.C., who is taking MGF 2202 for the first time, will pass g $5
the course the ﬁrst time? ‘ F " Eng 3 3 85 82
H— B. — ( — D. —
85 88 88 85 In a survey of TCC instructors, it was found that 73% had taught at
another community college, 18% had taught at a major university and 5% f, 3 1?.) mafia
had taught at both another community coilege and a major university. if
one TCC instructor is selected at random, what is the probability that heishe taught nother community college 9; a major university?
0.96 B 0.86 C. 0.1314 D. 0.91
g .’
How many distinct arrangements are there of the letters of the word _ I 5
“feverfevr'? (An herbal remim headaches.) Z! 3 i
336 8. 40,32 3360 D. 56 .3 we] realize
a afar; A specialty license plate consists of three letters, a picture of an eagle, s “e”5
and then two digits. Letters and digits may be repeated. How many
different license lates are possible? 1,404,000 1,757,600 0. 7,300 D. X [Dio— —% Applications continued E. D In [L m l e 15. 16. 20. 21. 22. 23. l ..
Z 5. é 0 r1...
@ pCE'): "+20 ‘" ieo "Q A focal gym is sponsoring a contest for female bodybuilders. There are
ten contestants and the judges will award a ﬁrst, second, and third piace.
Assuming there are no ties, how many different ways can the places be awarded? . 120 B. 3,628,800 C. 6 Shannon is packing for an out of town business trip. She packs “three
suits, ﬁle blouses, Egg pairs of sensible pumps. and eight pairs of
earrings. How many different outﬁts will she be able to wear? (Ail of the items mix and etch and she chooses one of each item for an outﬁt.)
20 ‘ 480 C. 4,845 D. 20! How many ways can eight fans tine up to get Bobby Bowden's'autograph? 8’ C = 40320
40,320 B. 1 C. 64 D. 8 {(3xe 3
720 3 xﬁxiwé
430 ii HOW many'retrievai'codes are possibie for an answering machine if the code has
four digits? Digits may not be repea The first digit may not be zero. I ' 6,480 a. 9.000 c. 4.536 0. 10.000 9 x‘ g ,. "t 3; Your parents have rented a condo at Panama City Beach for Spring Break. Your parents are aiiowing you to invite three close friends. Suddenly, you find you /
have twgnty close friends. How many ways may you select your group of C , 3.0.1...
' '7 0 .3 ’ 3/
fnends. Q 3 1?, I
6,840 1,140 c. 20! D. 6 H 25.!913“ Mo
2»?! “ The Garnet and Gold She is having a clearance sale on all its T—shirts and
shorts. You have founoéﬁ‘ﬁﬂirts and fgngairs of shorts that yu wish to
purchase. unfortunately, your budget only ailows for you to bu ﬂds and two fairs of shmdds. How many w 3 may you make your seiectin? ' 26 “m” “'"”“"“§T” 24 120 0. 1,440 The Miami Chamber of Commerce is going to seiecﬁivéhucky TCC
students to receive an all expense paid trip to Miami each for Sprinng—e In order to enter, the student must have completed ﬂ hours of course wo and
have at ieast a §._§ GPA. _ CC students eligible for the prizes. How many ways may the identic zes be awarded. No one may receive two .i es. C 4. 3t 1,028,160 B. 120 C. 18! D.) 8,568 ‘3 5 M
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An experiment consists of rolling a pair of fair dige. How many ways can you 2: ﬂy”? ; i
get a admiressthan 1;? Again use the dice table on text page j851 653
35 'B. 36 C. 5 D. 6 Amy, Jean, Keith, Torn, Susan, and Dave have all been invited to a birthday
party. They arrive randomly and each person arrives at a different time. a. In how many ways can they arrive?
b. in how many ways can Jean arrive ﬁrst and Keith last?
0. Find the probability that Jean will arrive first and Keith arrive last. @6x5x4x3xzxregf;@ WWW @Eﬂxgxaxlﬁtﬁ[email protected] r——‘...___.. “I” Applications continued 0 ﬂier “OT Mpﬁbwh
% 24. A group consists of 6 men and 5 women. Five people are selected to attend a
conference. ::
See a. In how many ways can 5 people be selected from this group g1? ll CS
gale” b. in how many ways can 5 men be selected from the 6 men? 6 \3  '
\J c. Find the progyailityt aHh elected group will consist of all men. 3
19(5) = 4&2 = 3/22: Q 25. The probability that a region prone to hurricanes will be hit by a hurricane in any single year is What is the probability of being hit by a hurricane at least once in the next 5 yesars?
1 26. The probability that a region prone to flooding will flood in any single year is a. What is the probability of a flood two years in a row?
b. What is the probability of ﬂooding in three consecutive years?
c. What is the probability of no flooding for ten consecutive years? d. What is the probability of flooding at least onc in the next ten wags)? 9
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10D. 11.0 12.3 13.C 14.3 15.0 16.3 17A 18.0
19.3 20.0 21D 22.A 23. a. 720 b. 24 c.—L 24.21. 462 b. 6 C. —3— 25. 0.672
30 231
26.3.; b.—I— 0.0.349 d. 0.651
100 1000
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 Spring '11
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 Probability, Personal computer

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