# STAT 200 Quiz: Untitled9

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Published on 27 Jul 2020
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Exam
Name___________________________________
Writethepayoffmatrixforthegame.
1) PlayerRhasasupplyofnickels,dimes,andquarters.PlayerRchoosesoneofthecoins,and
playerCmustguesswhichcoinRhaschosen.Iftheguessiscorrect,Ctakesthecoin.Iftheguess
isincorrect,CgivesRanamountequaltoRʹschosencoin.
A)  ndq
n
d
q
5-10 -25
-510 -25
-5-10 25
B)  ndq
n
d
q
5-5-5
-10 10 -10
-25 -25 25
C)  ndq
n
d
q
-510 25
5-10 25
510 -25
D)  ndq
n
d
q
-555
10 -10 10
25 25 -25
1)
2) Eachplayerhasasupplyofnickels,dimes,andquarters.Atagivensignal,bothplayersdisplay
onecoin.Ifthedisplayedcoinsarenotthesame,thentheplayershowingthehighervaluedcoin
getstokeepboth.Iftheyarebothnickelsordimes,thenplayerRkeepsboth;butiftheyareboth
quarters,thenplayerCkeepsboth.
A)  ndq
n
d
q
-5-10 -25
10 -10 -25
25 25 25
B)  ndq
n
d
q
5-5-5
510 -10
510 -25
C)  ndq
n
d
q
-5-5-5
5-10 -10
510 25
D)  ndq
n
d
q
5-10 -25
10 10 -25
25 25 -25
2)
3) Eachplayerhasasupplyofpennies,nickels,anddimes.Atagivensignal,bothplayersdisplay
onecoin.IfthetotalnumberofcentsNiseven,thenRpaysNcentstoC.IfNisodd,thenCpays
NcentstoR.
A)  pnd
p
n
d
11-10
55-10
-1-510
B)  pnd
p
n
d
-2-611
-6-10 15
11 15 -20
C)  pnd
p
n
d
26-11
610 -15
-11 -15 20
D)  pnd
p
n
d
-1-110
-5-510
15-10
3)
1
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4) PlayerRhastwocards:ared2andablack7.PlayerChasthreecards:ared5
,
ablack6
,
anda
A)  r5 b6 b10
r2
b7
5-8-12
-12 7 10
B)  r5 b6 b10
r2
b7
-7610
7-13 -17
C)  r5 b6 b10
r2
b7
7-6-10
-713 17
D)  r5 b6 b10
r2
b7
-5812
12 -7-10
4)
paysNdollarstoC.IfNisodd,CpaysNdollarstoR.
A)  123
1
2
3
1-21
-12-3
3-23
B)  123
1
2
3
2-34
-34-5
4-56
C)  123
1
2
3
-12-1
1-23
-32-3
D)  123
1
2
3
-23-4
3-45
-45-6
5)
(paper).Stonebeatsscissors,scissorsbeatspaper,andpaperbeatsstone.Inthecaseofatie,there
isnopayoff.Inthecaseofawin,thewinnercollects50yen.
A) st sc p
st
sc
p
050 -50
50 0-50
50 -50 0
B) st sc p
st
sc
p
050 -50
-50 050
50 -50 0
C)  st sc p
st
sc
p
50 50 -50
-50 50 50
50 -50 50
D) st sc p
st
sc
p
0-50 50
50 0-50
-50 50 0
6)
7) -74
36
A) Entrya12 B) Entrya12 andentrya21
7)
8) -92
6-2
A) Entrya22 B) Entrya11
8)
2
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9) 9-25
2-4-8
A) Entrya23 B) Entrya12 andentrya23
9)
10) 7-4-6
-9-88
A) Entrya11 B) Entrya21
10)
11)
92-9
52-4
-14-6
A) Entrya23 B) Entrya13
11)
12)
3-2-9
559
-2-12
A) Entrya21andentrya13 B) Entrya21
12)
13)
03-14
0-4-15
2825
A) Entrya31 B) Entrya13 andentrya31
13)
Findtheexpectedpayoff.
14) LetMbethematrixgamehavingpayoffmatrix
-1 5 3
0-42
-210
.
FindE(x,y)whenx=
1
6
1
2
1
3
andy=
1
4
1
4
1
2
.
A) 5
12 B) -1
24 C) 1
3D) 1
12
14)
3
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