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Math 302.102 Fall 2010
Assignment #1
This assignment is due at the beginning of class on Wednesday, September 22, 2010.
1.
Suppose that the sample space
S
consists of four outcomes, say
S
=
{
a, b, c, d
}
.
(a)
Explicitly list all of the possible
events
. Call this collection of events
F
.
(b)
Assuming that each outcome is equally likely, give a succinct formula for
P
{
A
}
for any event
A
∈ F
. (In other words, do not simply list
P
{
A
}
for each possible
A
. As you know from
part
(a)
, there are a lot of events to list.)
2.
Suppose that there are three identical coins, each of which shows heads with probability 3
/
5
and shows tails with probability 2
/
5. Call the three coins
A
,
B
, and
C
. Coin
A
counts 10 points
if a head appears and 2 points if a tail appears. Coin
B
counts 4 points if a head appears and 4
points if a tail appears. Coin
C
counts 3 points if a head appears and 20 points if a tail appears.
You and your opponent each choose a coin; you cannot choose the same coin. Each of you tosses
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 Spring '08
 ISRAEL
 Math, Probability

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