Why Did tho Actot Jump' Out Of a Window In Tirngg ~quatQt? Find each answer in the set of answers under the exercise. Write the exercise letter in that box. Find each prObability~'f
')
u spin both spinners.
5'i~I';5 1
T. P[blue. A)
~x
5°3::-'
A. P[not red. A)
?'
E. P(red, A) ~ .~::- 2/1~ E. P(not white, B) "3/y'Z./-s'~ (,
.-
.,
e
5:2
,0
. P"(not
l~
-vi
blue, B) ~/5 l;y:\~ -
•
E.
p( white,
l/y.LJ/r.::.l/
'"
' •• e»
w..
?/(p ::. \
P (green, odd)
O· ~
J...
c; -
Solve.
0-.3/~
K. P(not striped, od
,-
(.l 12
H
2 15
L.
o
496
E:
- ..L
1_
A
'0
W
"ARKANSAS": Find each
O. P(N. then K)~ .~
J. A. P(R, then S)
z.q, I.
'-'1
N. A test includes several multiple choice questions, each with five choices. \ \ Suppose you don't know the answers '5'-for three of these questions, so you~.5 5 guess What is the probability of I / 11.5 getting all three correct?
e
N
1
f
o
1 - .'4. , 5, . - r: -·1 ---3 6 15 8 576 24 8
,',
0
A
J"I
0
K
25
f
(
ability if you pick a ca,rd, do NOT replace it hen pick a second card.
B.
~.
_~.:m
p(s.
then A) ~. ~/7° "1ft._ 'I,. '
'2..
C. _
II N IIII
A. P(A, then not A)~ • .2 ::}'15\');
,
"67G}}
II!IIII A II s IIII A IIII~I
~
ARK
12
• p(S, then not S) ~ • 7' - '5 . 'i;y
~7~
Find each probability if you pick two marbles without replacing the first (G = green; R = red; Y = yellow).
O. P(red, then green] 2./1" 1ff,:; ,~ A. P (red. then Jfcllgw)
J.1L~
1.../1 • 3/'iS ;:
W. p(green,
o
125
1 -. 8 ' 1 15 75 8
r 0
"
'1 15
i .~~\'l./5&
P(A, then N)~
,
G ~o
1"6
M. Suppose the probability that a new spark plug is defective is 2~' And suppose you buy two new spark plugs for a motorcycle. What is the probability that both of them are defective? jh~·'1L'f-:.-~1/57&'
~/£f •
then green)
?/~: '2...,'.:;.=
7 18 -
Probability: Independent
1 435 ~
3 56
.r;
and Dependent
fJ
en)
1?/i/5
-,
(l,
'17.
~
-I-;l
I
q. ~ ::rt -I~
H. TWostudents are chosen at random from a class of 30. What is the probability that -:; 'z=-q both you and your best friend are chosen?
Q~r~l'A
,
D. P(not red, then no red)
[9J
"6
yellow)
"'/~::.C11J
T. P (green. then nr Lj/~.
.:i .. ~ ::. Ql
Solve. 9
N. P(yellow, th~not
I::.
..
-1"',
T. P(striped, less~"5),
eve~
..l.'~.
e
'Z-
/)<}l).1 .1<»
~
•
')/lj'
o
,)~~(~~~6,
0
.0
white
?""(
Find each probability if you spin the spinner and roll the die.
A. P(white, 2)'~'~ ';~ , v l'i. H. P[black, 6) ~'~ •. '/IZ
l
. -~--.
white
?I
O. P (white: B) ~ . !::-:..~~I
(
(,
'I
-;
5 18
T
2 869
1 56
0
1 4 N
~
220
.W
R. Two cards are drawn at random from a 4 3 1"2.. standard deck of 52 cards. What is the 52. • ') :; ~ probability that both cards are aces? \ 2,& 3 28
1 221
B R
1
9
15 56
0
A
7 12
()
1 6
w
1
3
,,8
Y
PUNCHLINE • Algebra • Book B ©2006 Marcy Mathworks
Events
19.2
1/
Why Is Gigia Successful Dancer in Pari»? Find each correct answer in the s~t of answers under the exercise and cross out the letter above it. THEORETICAL PROBABILIlY.
In Exercises 1-8, express probabilities
1. Each time you spin this spinner, how
.
many equally m'
ly outcomes are there?
«)
.
2. Find each pro a ility if you spin the spinner once. a. P~I ell. ~..- - _N.. ./ b. a consonant)'l§ 0 c.
E
Q
-
- LJI3& ~
4. If you roll a regular 6·faced die 1200 . times, about how many times wq.ul€\you expect to get a 5? 'tc: rico-: ~
t
~
c
100 t ;t
H 225
~
..
EXPERIMENTAL PROBABILIlY.
E
C
1 6
40 ~
o'iJ-:,C;;;
0"
Z1:;
•
qz.o(,
&J
b..
10. Whazup Toyz has 1500 toy ro 0 m Its warehouse. Base d on th e d ata ab-. ove,1 f th b about how many e ro ots are like-y f ?0 ~ to have a de ect. 1500 '.(/6:'" ill£J -
• }'61 ~~
~ {
\.
Probability:
% 3~5 1Ivo ~o
\51-\ f.
Theoretical and Experimental
CAN
5~ ~
-
--
-
It 8
Station
Number
33
h. WRAP?S"'/m ..:. lj" 1", ~ c. WHIT?'1;'u..::.l2.!~
WRAP WHIT
56 9
d. another rtati:t?
Other
24
2~/1Z.Z.-:"
q,P4,
~o
.
WROK
0 -
Bass
3B
4 5
~
as percents (some are rounded).
a. WROK?'O')/11:2.~ 'l.7°16
b. a ~as ?7/~()~.oC01,,:> 7
c. a perc ? ~:;. 26 d. another species?u./~:::~Y)"{o
~
N
12. Checking his database, a meteorologist fmds 192 days that had weather patterns similar to those he observes today. On 57 of those days, it rained. Based on this data, wJ:1atis the proba!>ilimf rai today? 57/IQ2.=- .'Lei/ 30%, 13. Twila Zone asked students chool t 0 name th err . lavon c. ite ra dl10 son. tali Th e ult g' . th t bl B d res s are rven ill e a e. ase on thoIS da ta ,w h a t IS i th e prob abtlity th at a -r - 11. 1 2 student selected at random would name: I-
Lost Lake over the last week. Based on this data, what is the probability that the next fish caught will be: a. a trout?:;·z../~o=-_.4 40% i5/~6-=-
15
..
11. The circle graph shows the fish caught in
c,
! l l A
In Exercises 9-14, express probabilities
9. Whazup Toyz inspected 200 toy robots for defects. There were 16 robots with defects. What is the probability that a robot selected at random has: a. a defect? b. no d ct
1(./
-!
:=":JIQl
~ ·~D.):::f~
s
l/q
a. the bUllrer.ef h. a white square? '/1'11>0: 7..0 - 1/3' \"60 8. Karina tosse
the letter ~
?/~'~oo
\
Any shade~ se? '?.~/3(,,- 'Z/,? 7. If a dart hits the et randomly 180 ttmes.-about how many times would you expect it to hit:
.
a. a vowel? .~b.
(,
6. If a dar 1 s the target randomly, what is the - probabtlity itwill hit: _ a. The bullseye (one of - the cent~ares)?
.
3. If you spin the spinner 400 'times, about how many times would you expect it to stop on:
Q
in lowest terms.
~(p
P("g"). f@b.
1 10
as fradions
5. If a dart hits this target randomly, how many e~y likely outcomes are there?
20(;10
14. If there are 1260 students at Twila's school, about how many of them would ,~ you expect to choose WROK? .1.7·/'l{"o:.\~ ~
7
3~% 1~2 ~
CAN LA N
~o 2:% ~o
1!0 ~/o
~o 1~/oi'
PUNCH LINE • Algebra· Book B ©2006 Marcy Mathworks
Probability
19.1
Did Yau Hear About ... 6. 8.
9.
W ~~ h
10.
IJ.
11.
.1('; uj ----be_cQ.u~L--
C\
heJ
-she. ~
_:.Fil10 ~ach_qQrrectJ'!nswer in the answer column. Write the word next to the answer in the box containing the exercise number.
~.
7·
14.
\ ve:
:r :e1)){(
?
416 FLOWER
Solve. 1. Bubba's Barbecue sells 4 kinds of sandwiches.
Each sandwich comes with either chips, coleslaw, or baked beans. How many different choices are there? Lj •~ ::-
@
.
2.. Ms. Mogg has 6 sweatshirts and 5 pairs of running shorts that she wears with either green or blue running shoes. How many different outfits can ~ake? G· be2=- 0b J. Balloons or Bust sells balloons in· different colors. Each color comes in small, medium, or large size. They will inflate the balloon and tie on a gold, green, red, blue, orange, pink, or purple ribbon. How ~ different choices are there? \ 0 .. P P 7I
4•
7 7~:-'~o
6
5·-73~;
(1-7)~
Solve
--
.
6•
(~H»)~
p
05 _LJ): 1&·/' ·rz. ~z..171. 0
.
"210'
•
7· .200P2-'
\
15 4-~'-'"
~ (2-o';>'-2-)\~
"" '2,00
".:fl
l
-i~l
'600
8. Kamisha wants to line up her
4 stuffe ears on a s e over her bed. How many different arrangements are possible? L/ .?>. 2· I ~ Z Lf 9. Suppose you want to make an arrangement of the letters in the word "SMILE"to use as a computer Py;;\do How many choices do you have? S. L/. 3 2.' I ~ '20
t
10. Ten horses are competing in a race. How many different
.
ftrst-second-third places finiS!S ~e possible? -
-
~cP"3::- ~):
::
720
ID.q.~:.
11. Camp Cornflake offers 12 diffi en activities. How many
different schedules of 5 activities] are possible? 84,210 WHENEVER s; -- Cll.'~~~ ~ -IZ.II. IO'~'<;Cu ~.,cL Q50'lo ,.., ~ f '" ~ 12.. In how many different ways can a president, vice president, secretary, and treasurer be elected fr~ a club with 32 members? '3Z-Plj = 31..·~I·~G·2q ::.l~("~o'-lo~J IJ. Each locker at Kermit Middle School has a dial with 50 numbers printed on it. A lock is opened by dialing three different numbers in a certain order. How different sequences are possible? ~oII3 ::. bO .(./q . 'I ~ - PI, (,,00 14. Regular license plate' ornia begin with a digit from 1-9, followed by three letters, followed by three digits, each from 0-9. How many different license plates are possible? Probability: Permutations
r»q
"2 &
'2~ 7.(;
10
Io
10
-z- \
"'~ J)
19.3
\coY
I
0°0 PUNCHLINE • Algebra • Book B ©2006 Marcy Mathworks
CFZaCI'B
1 What do you call a grizzly with no teeth? IDA
S _
e
G
6
6
yEA
tAJ"I
LA
88,270 120 126 125,970 125,970 1365 9
fZ.
404,550 462
Why is a 'moth the animal with the smallest appetite?
rt
f: -A T S
I
l
D
6
10
f
L
5
6 --9f 2r 84' H880 792 2,598,960 462- 21
1225 91 752,920 462
Z' what do 'you calLa fly with no wings? .eA
---.W
6
360
.t·
A
59,280 6
t\_
2,598,960
56
Each time an answer appear!5 in the code. write the letter
of
the exerclee above i.t. '3>
'2
Find the value of the expression. R. 5C3 ~
~ ~-:..QT.
{5-))~'Y
z..-
q~
--:z
14C2 ll,~:)"''ll-:'
I~
I
14' I~
1
~ . ,
_ ~.;{ 7.j.
U. 9C4 (~-~)~.4'-
f4.j
z.
r_
O. 12C5 7!·5'. ~ S-i.i"l
r 2J
[§J .
§
rz-11.t() '1"
1'2. \
Solve. 7~ K. How many different committees of ~ Y. Suppose you are required to read any L:> la ~ three members can be formed from a ~ four books from a list of fifteen. How 10 4 l~ group of eight people? C = ~ ~ . ~:!.;2:1 .' many different selections arf;fff9ble? /5 ·/4 'I~' 11~ ____________
._'t>~3 _
-t'lL-
___.:5..:...... '?>.
S. The dots at the right represent seven towns that are to be joined by telephone cables. If each town is connected directly to each of the other towns, how many cables will be requited? (HINT: You are~oining s~~~n_pOints.two at a time.) 7(Z.-= hl.:v.=Il-~ I. If there were 50 towns, how many cab ld be required? bOGl.:::'
!io~/'-i~'.·2.:
50-491
~
:::. 1'2.25
W. Sure Lock Co. makes locks with 40 numbers printed on the dial. A lock is opened by dialing three different numbers in a certain@rdeQ How many different sequences are possibJ ?
p. ::
1-/0: /.
t:
-=- 40'')9·3
-!\.=..c_C.>L?>_~_'{)!/"1~.)~:;.-
•
•
•
•
• • •
---
::...5 'I '2. 'b 0
lo·q·'lS'/~
~
B. Two students at Sky High School will qoo Lz. ::. ~ be chosen for a 'IV interview: If there z.are 900. students at t.he school, how many different selections are possible?
~)~40~/3
1.::' 1"2..0
E. How many different 6-player starting A. You are required to solve any five of the squads can be formed from a volleyball six problems on an algebra 'quiz. How team of 11 players? 1\ c.c.:::' ~ -::. \I' lu.'l.~.l ~%L many different selections are possible?
§
(,~.f::>.
L-
"2.0
-
12 -
-
r ~1-5}70
-
ctfy-1JfI'p
~I.
_
(" (, ---..:" 5-5\.·1~
~fij
5''/''30'2.11
M. Twenty people report for jury duty. L. How many different 5-card hands can How many different 12-personjuries 'l. be dealt from a standard deck of 52 can be chosen? r . '2-°1. _ -yS.lq'~.17.jt'lj.IJ/.!~ cards? '71:::- 5Z· 'b1·!JO·4Q·4"6 ::::ll-...;.;....5...;;;.'1-'~-''1-(,-D----, Probability: combinationS}
7..
H. Suppose that Sure Lock Co. changes 4D (.3 ::. its lock so that the order in which you dial the different numbers 40'. - ij~~ oesn't matter. How many different 3 7~ 9?> ~ '3 --z.. combinations would be possible then? \~
G. Pizza Mind offers ten different toppings for its pizza. Suppose you order a pizza with three toppings. How many different combinations are possibl ___
~v.'b'
~
J'
C -
-
I
19.4
S1. b - ~
5",.
5 4· 3· 2.. t _ I I PUNCHLINE-Algebra-BookB ©2006 Marcy Mathworks
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