P
ro
babili
ty
&
S
t
a
t
i
st
ic
s
—
P
r
ac
t
ice Se
t
(
100
Q
u
e
st
i
ons
,
M
u
l
t
i
p
le
Ch
o
ice
)
EOC
-sty
le
pr
ac
t
ice
.
A
nsw
e
r
ke
y
prov
ided i
n
a
s
e
p
a
r
a
t
e d
o
c
um
e
nt.
1
.
H
ow
m
a
ny
out
c
om
e
s
a
r
e i
n
t
he
s
a
mp
le
sp
ace f
or
fl
i
pp
i
n
g
2
c
o
i
ns
?
A
)
4
B
)
6
C
)
2
D
)
8
2
.
A bag ha
s
30
m
a
r
ble
s
,
13
o
f
w
hich a
r
e bl
u
e
.
Fi
n
d
t
he
t
he
or
e
t
ical
pro
babili
ty
o
f d
r
a
w
i
n
g a
bl
u
e
m
a
r
ble
.
A
)
13
/
30
B
)
13
/
17
C
)
7
/
15
D
)
17
/
30
3
.
A
sp
i
nn
e
r
i
s
spun
50
t
i
m
e
s
,
la
n
di
n
g
on
r
ed
14
t
i
m
e
s
.
Fi
n
d
t
he e
xp
e
r
i
m
e
nt
al
pro
babili
ty
o
f
la
n
di
n
g
on
r
ed
.
A
)
7
/
25
B
)
8
/
25
C
)
7
/
18
D
)
18
/
25
4
.
P
(
e
v
e
nt
A
)
=
4
/
5
.
Fi
n
d P
(
not
A
)
us
i
n
g
t
he C
omp
le
m
e
nt
R
u
le
.
A
)
1
/
5
B
)
7
/
10
C
)
4
/
5
D
)
1
/
4
5
.
A c
o
i
n
i
s
fl
i
pp
ed
4
t
i
m
e
s
.
Fi
n
d P
(
a
t
lea
st
on
e head
s
)
us
i
n
g
t
he C
omp
le
m
e
nt
R
u
le
.
A
)
1
/
2
B
)
1
/
4
C
)
1
/
16
D
)
15
/
16
6
.
I
n
a g
roup
o
f
100
p
e
op
le
,
12
like c
off
ee
,
45
like
t
ea
,
a
n
d
4
like b
ot
h
.
Fi
n
d P
(
c
off
ee
or
t
ea
).
A
)
53
/
100
B
)
1
/
25
C
)
53
/
200
D
)
57
/
100
7
.
A ja
r
ha
s
52
i
t
e
ms
.
12
a
r
e labeled X a
n
d
13
a
r
e labeled Y
(
no
i
t
e
m
ha
s
b
ot
h label
s
).
Fi
n
d
P
(
X
or
Y
).
A
)
25
/
104
B
)
25
/
52
C
)
3
D
)
1
/
52
8
.
T
wo
i
n
de
p
e
n
de
nt
e
v
e
nts
:
P
(
A
)
=
1
/
8
,
P
(
B
)
=
1
/
2
.
Fi
n
d P
(
A a
n
d B
).
A
)
1
/
10
B
)
1
/
5
C
)
1
/
16
D
)
1
/
8
9
.
A b
ox
ha
s
20
i
t
e
ms
,
3
o
f
w
hich a
r
e defec
t
i
v
e
.
T
wo
a
r
e d
r
a
wn
WITHOUT
r
e
p
lace
m
e
nt
.
Fi
n
d P
(
b
ot
h defec
t
i
v
e
).
A
)
9
/
400
B
)
3
/
200
C
)
3
/
190
D
)
3
/
20
10
.
A
r
e
t
he e
v
e
nts
i
n
t
hi
s
s
ce
n
a
r
i
o
i
n
de
p
e
n
de
nt
or
de
p
e
n
de
nt
?
"
A die i
s
ro
lled
tw
ice i
n
a
row
."
A
)
ca
nnot
be de
t
e
rm
i
n
ed
B
)
de
p
e
n
de
nt
C
)
i
n
de
p
e
n
de
nt
D
)
n
ei
t
he
r
11
.
A
two
-
w
a
y
t
able
s
h
ows
:
25
stu
de
nts
pr
efe
r
d
o
g
s
AND a
r
e i
n
m
iddle
s
ch
oo
l
;
17
stu
de
nts
pr
efe
r
d
o
g
s
AND a
r
e i
n
high
s
ch
oo
l
;
16
pr
efe
r
ca
ts
AND a
r
e
m
iddle
s
ch
oo
l
;
25
pr
efe
r
ca
ts
AND a
r
e high
s
ch
oo
l
.
Fi
n
d P
(
pr
efe
rs
d
o
g
s
|
m
iddle
s
ch
oo
l
).
A
)
16
/
41
B
)
25
/
42
C
)
41
/
83
D
)
25
/
41
12
.
H
ow
m
a
ny
w
a
ys
ca
n
4
di
st
i
n
c
t
pos
i
t
i
ons
be
fi
lled b
y
ch
oos
i
n
g f
rom
10
p
e
op
le
(
or
de
r
m
a
tt
e
rs
)?
Fi
n
d
10
P
4
.
A
)
210
B
)
5040
C
)
10000
D
)
5050
13
.
H
ow
m
a
ny
w
a
ys
ca
n
a c
omm
i
tt
ee
o
f
2
be ch
os
e
n
f
rom
6
p
e
op
le
(
or
de
r
d
o
e
s
not
m
a
tt
e
r
)?
Fi
n
d
6
C
2
.
A
)
12
B
)
17
C
)
30
D
)
15
14
.
A
m
e
nu
ha
s
2
a
pp
e
t
i
z
e
rs
,
6
e
ntr
ee
s
,
a
n
d
2
de
ss
e
rts
.
U
s
i
n
g
t
he F
un
da
m
e
nt
al C
ount
i
n
g
P
r
i
n
ci
p
le
,
h
ow
m
a
ny
di
ff
e
r
e
nt
3
-
c
ours
e
m
eal
s
a
r
e
poss
ible
?
A
)
25
B
)
24
C
)
10
D
)
14
15
.
D
o
e
s
t
hi
s
s
i
tu
a
t
i
on
call f
or
a
p
e
rmut
a
t
i
on
or
a c
om
bi
n
a
t
i
on
?
"
Selec
t
i
n
g a
pr
e
s
ide
nt
,
v
ice
pr
e
s
ide
nt
,
a
n
d
s
ec
r
e
t
a
ry
f
rom
a cl
u
b
"
A
)
c
om
bi
n
a
t
i
on
B
)
p
e
rmut
a
t
i
on
C
)
n
ei
t
he
r
a
pp
lie
s
D
)
t
he Addi
t
i
on
R
u
le
16
.
A
s
i
mu
la
t
i
on
o
f
ro
lli
n
g a die
20
t
i
m
e
s
s
h
ows
a
'
6
'
a
pp
ea
r
i
n
g
5
t
i
m
e
s
,
w
hile
t
he
t
he
or
e
t
ical
pro
babili
ty
i
s
1
/
6
.
Wha
t
wou
ld
most
likel
y
ha
pp
e
n
to
t
he
r
ela
t
i
v
e f
r
e
qu
e
n
c
y
if
t
he
s
i
mu
la
t
i
on
w
e
r
e
run
5
,
000
t
i
m
e
s
i
nst
ead
?
A
)
I
t
wou
ld ge
t
cl
os
e
r
to
1
/
6
(≈
0
.
167
)
B
)
I
t
wou
ld bec
om
e e
x
ac
t
l
y
0
C
)
I
t
wou
ld
st
a
y
e
x
ac
t
l
y
a
t
5
/
20
D
)
I
t
wou
ld
mov
e f
urt
he
r
f
rom
1
/
6
17
.
H
ow
m
a
ny
out
c
om
e
s
a
r
e i
n
t
he
s
a
mp
le
sp
ace f
or
fl
i
pp
i
n
g
2
c
o
i
ns
?
A
)
6
B
)
4
C
)
8
D
)
2
18
.
A bag ha
s
10
m
a
r
ble
s
,
4
o
f
w
hich a
r
e bl
u
e
.
Fi
n
d
t
he
t
he
or
e
t
ical
pro
babili
ty
o
f d
r
a
w
i
n
g a
bl
u
e
m
a
r
ble
.
End of Document
305
