Chapter 4
Solutions:
1.
Number of experimental Outcomes = (3)(2)(4) = 24
2.
6
6!
6 5 4 3 2 1
20
3
3!3!
(3 2 1)(3 2 1)
=
=
=
ABC
ACE
BCD
BEF
ABD
ACF
BCE
CDE
ABE
ADE
BCF
CDF
ABF
ADF
BDE
CEF
ACD
AEF
BDF
DEF
3.
P
3
6
6!
6
3
6 5 4
120
=

=
=
(
)!
( )( )( )
BDF
BFD
DBF
DFB
FBD
FDB
4.
a.
H
T
H
T
H
T
H
T
H
T
H
T
H
T
(H,H,H)
(H,H,T)
(H,T,H)
(H,T,T)
(T,H,H)
(T,H,T)
(T,T,H)
(T,T,T)
1st Toss
2nd Toss
3rd Toss
b.
Let: H be head and T be tail
(H,H,H) (T,H,H)
(H,H,T) (T,H,T)
(H,T,H) (T,T,H)
(H,T,T) (T,T,T)
c.
The outcomes are equally likely, so the probability of each outcomes is 1/8.
5.
P
(E
i
) = 1/5 for i = 1, 2, 3, 4, 5
P
(E
i
)
≥
0
for i = 1, 2, 3, 4, 5
P
(E
1
) +
P
(E
2
) +
P
(E
3
) +
P
(E
4
) +
P
(E
5
) = 1/5 + 1/5 + 1/5 + 1/5 + 1/5 = 1
4  2