1
STA 13C
Homework 3
Professor Francisco J. Samaniego
Solutions for Homework 3
Problems
4.31, 4.32, 4.37, 4.83, 4.85, 4.91, 4.92, 4.124, 5.8, 5.25, five additional problems
Problem 4.31
a)
The number of simple events in the sample space is
52
5
d
e
=
2598960
eeeeeeeeeeeeeeeeeeeeeeeeee
b)
There are
4
ways
eeeeeeeeeeeeeeeeeeeee
to get a royal flush
c)
P a royal flush
b
c
=
4
52
5
d
e
ffffffffffffffff
=
4
2598960
fffffffffffffffffffffffffff
=
0.000001539
eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Problem 4.32
a)
The number of possible poker hands is
52
5
d
e
=
2598960
eeeeeeeeeeeeeeeeeeeeeeeeee
b)
The number of ways I can receive four cards of the same value
and
one card from the other
48 available cards is:
13
B
4
4
d
e
B
48
1
d
e
=
624
eeeeeeeeee
c)
P
four of a kind
b
c
=
13
B
4
4
d
e
B
48
1
d
e
52
5
d
e
fffffffffffffffffffffffffffffffffffffffffffffffffff
=
624
2598960
fffffffffffffffffffffffffff
=
0.0002401
eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

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