Chapters 17 – 20 Notes Examples
Page 1 of 4
Example of a Random Phenomenon that Leads to Probabilities
Experiment – We flip two coins simultaneously and record the number of heads that occur.
Possible Outcomes:
0H
1H
2H
Repeat experiment 200 times.
Summary of Results:
0H
1H
2H
53
104
43
Calculate the experimental probability for the occurrence of 1H.
=
=
200
104
)
1
(
H
P
0.52 or 52%
What is the theoretical probability?
=
=
4
2
)
1
(
H
P
0.5 or 50%
Example: Rolling a Die
There are 6 outcomes and each outcome is equally likely to appear.
The probability of any one outcome is 1/6.
Let A = the die lands on an even number.
A = {2, 4, 6}
What is A
c
?
A
c
= {1, 3, 5}
Find P(A).
=
=
6
3
)
(
A
P
1/2
Find P(A
c
).
=
−
=
−
=
6
3
1
)
(
1
)
(
A
P
A
P
c
1/2

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