Expected Value and Odds
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Team Name: KEY
Members Present: ___________________________________________________________________
Section: _________
Part I
1. Enter your group’s data: *Note: Values in the table will vary for each group, but answers must be
in the same format as the sample trials.
Trial
Trial
Trial
Trial
Trial
Trial
Trial
Trial
Trial
1
2
3
4
5
6
7
8
9
Outcome
1H, 2T
2H, 1T 0H, 3T
1
1
1
Mean
3
1.5
2
3
1
3
2. ___1.5___ (Answers will vary.)
3.
X = # of Heads
3
2
P(X)
1
8
3
8
1
3
8
0
1
8
E(X) = ___1.5___
4. ___No___
Why or why not? E(X) is the value you expect to occur in the long run, and not just after a
limited number of trials.
© Texas A&M University
Page 1
Expected Value and Odds
Part II
1.
X = # of women
P(X)
1
21
10
21
10
21
2
1
0
12 4

21 7
E(X) = ____________
2. a. ___52___
b.
X = # of women Frequency
2
3
1
26
0
23
P(X)
3
52
26 1

52 2
23
52
32 8

52 13
c. ___________
3. ___No___
Why or why not? __The actual mean number of women in a delegation in the past year exceeds
__the expected number of women in a delegation.
Part III
8
13
1. ___________
2. __1__ : __2__
3. __14__ : __11__
4. e. Your friend should bet $__2.50__ to make this fair.
© Texas A&M University
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