Math 361, Problem Set 2
September 3, 2010
Due: 9/13/10
1. (1.3.11) A bowl contains 16 chips, of which 6 are red, 7 are white and 3
are blue. If four chips are taken at random and without replacement, Fnd
the probability that
(a) each of the 4 chips is red
(b) none of the four chips is red
(c) there is at least one chip of each color.
2. (1.3.24) Consider three events
C
1
,C
2
,C
3
.
(a) Suppose
C
1
,C
2
,C
3
are mutually exclusive events. If
P
(
C
i
)=
p
i
, for
i
=1
,
2
,
3 what is the restriction on the sum
p
1
,p
2
,p
3
.
(b) In the notation of Part (a), if
p
1
=4
/
10,
p
2
=3
/
10, and
p
3
=5
/
10
are
C
1
,C
2
and
C
3
mutually exclusive?
(c) Does it follow from your conclusion in part (
b
) that
P
(
C
1
∩
C
2
∩
C
3
)
>
0? Why or why not?
3. (1.4.7) A pair of 6sided dice is cast until either the sum of seven or eight
appears.
(a) Show that the probability of a seven before an eight is 6/11.
(b) Next, this pair of dice is cast until a seven appears twice (as a sum)
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 Fall '10
 Dr.PaulHorn
 Conditional Probability, Probability, Probability space, CHiPs

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