,.
Econ •11
Departuw .t of tco1)0mics, UCLA
Final Exarn
1 Single Choice Problems
The probli ms in this ooctio11 Clnl)' hM on� romx:t im:,;wc:r amou_g th<' choices&: b. c and d. Yoe \\;11
g�, 1 crCCit if your choice i:; corrt.'(;t und O cr<.xlit o�hcrwis-n. "!"'hP. tollowlng formnla will be useful:
l .A Sul' x,,:,,c t.lt.il two falr <lice nn� roHcd am! we rca<l the numbers on t,heir up f:::t<:es. \Ye. mo� A
to d�uotc th� �,.,ent that the sum oft,,,...., numhE'r.:. is odd and B to denote ,he "'·•c-ut 1ht1l (It
14 7
1. lhe prob•bH;,y
. _�n n "'JH•ls: r? (, .
\0ij
- \
(:: 0,
"
(a) i,I; (<j � (d} i,,] '.) '\ ?�
lZ jcl I (,,
q<
2. : lte prc,h:1bili1y (\f Au B <:(tu(lls : i I (p I
Qi
(I�
';I
' (h) ]'.! (<·) � f1 -;2 4;, s2 sle
,.
(�};
1,�
3, 1 '2 5 �f
3. the pr,;hahilit,Y�f"'l B' P.<)11:tlJ"; :
'•' I\' �I
(ui Jll
\__<:'.!) \C) � (d ) :y,;
\', <;1 r, .. (>
-1. ,•ic probability uf A' n D �� J, ;S
<:,.,
"
(O.J' 35
' (b) _;_ (1 (d) ;,
·
:Id
(a) 100
1@
i .B 5. H w tOlli\J � <tigitiJ )lUinb<:rS con :ve et lw ll�hlg 0. 1. '2. 3 and 4?
· (r) -1, id) JO
gn ,, .01.1
I?
Ol'-1
02i
01..'i
rz'!,;f;Y!t
O 3i
012
(j 3'-1
o</ I
(, !( ?
@G. A 1>oker hand is defined as drs" ing fi,:e cnr<ls at random withou1 r<plac'l'mem from a �«-I<
of ,'l2 >l<�ying <:ards. \Vhat�s the probat,ility of :;,etting 5 �rds wi1..h <lifforcm face value:$? r
(•) o.:;on {o) 0.30,1 (c) 0.2071 �.ooo., (-t:.) '
(-l1/) l�) l
1
,
Econ •11
Departuw .t of tco1)0mics, UCLA
Final Exarn
1 Single Choice Problems
The probli ms in this ooctio11 Clnl)' hM on� romx:t im:,;wc:r amou_g th<' choices&: b. c and d. Yoe \\;11
g�, 1 crCCit if your choice i:; corrt.'(;t und O cr<.xlit o�hcrwis-n. "!"'hP. tollowlng formnla will be useful:
l .A Sul' x,,:,,c t.lt.il two falr <lice nn� roHcd am! we rca<l the numbers on t,heir up f:::t<:es. \Ye. mo� A
to d�uotc th� �,.,ent that the sum oft,,,...., numhE'r.:. is odd and B to denote ,he "'·•c-ut 1ht1l (It
14 7
1. lhe prob•bH;,y
. _�n n "'JH•ls: r? (, .
\0ij
- \
(:: 0,
"
(a) i,I; (<j � (d} i,,] '.) '\ ?�
lZ jcl I (,,
q<
2. : lte prc,h:1bili1y (\f Au B <:(tu(lls : i I (p I
Qi
(I�
';I
' (h) ]'.! (<·) � f1 -;2 4;, s2 sle
,.
(�};
1,�
3, 1 '2 5 �f
3. the pr,;hahilit,Y�f"'l B' P.<)11:tlJ"; :
'•' I\' �I
(ui Jll
\__<:'.!) \C) � (d ) :y,;
\', <;1 r, .. (>
-1. ,•ic probability uf A' n D �� J, ;S
<:,.,
"
(O.J' 35
' (b) _;_ (1 (d) ;,
·
:Id
(a) 100
1@
i .B 5. H w tOlli\J � <tigitiJ )lUinb<:rS con :ve et lw ll�hlg 0. 1. '2. 3 and 4?
· (r) -1, id) JO
gn ,, .01.1
I?
Ol'-1
02i
01..'i
rz'!,;f;Y!t
O 3i
012
(j 3'-1
o</ I
(, !( ?
@G. A 1>oker hand is defined as drs" ing fi,:e cnr<ls at random withou1 r<plac'l'mem from a �«-I<
of ,'l2 >l<�ying <:ards. \Vhat�s the probat,ility of :;,etting 5 �rds wi1..h <lifforcm face value:$? r
(•) o.:;on {o) 0.30,1 (c) 0.2071 �.ooo., (-t:.) '
(-l1/) l�) l
1
,
