STAT416: Probability — Spring 2011
Lecture Notes
1
Chapter 1: Sample Space, Equally Likely Sample Points,
Combinatorics, Probability Calculations
January 11, 2011
1
Introduction to Probability
1.1
Random Experiment, Sample Space & Events
Review
Example
1
.
Define the sample space for each of the following experiments:
1. Toss a coin twice and record the outcomes.
2. Toss a coin three times and record the outcomes.
3. Select two numbers from 0 through 9 and record the outcomes when sampling is
with/without replacement.
4. Select a committee of three from 5 professors in a department.
5. Roll a die two times and record the scores.
Example
2
.
A fair die is rolled twice. Evaluate the following probabilities.
•
A = The scores are the same.
•
B = The sum of the scores is either 7 or 11.
•
C = The sum is odd.
•
D = The product is odd.
•
E = The sum and the product are both odd.
Example
3
.
2 eggs in a carton of 12 are bad. If I pick eggs at random for a threeegg
omelet, what is the probability that I do not pick a bad egg?
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 Spring '08
 Staff
 Probability, Probability theory, Coin flipping, Prof. Sharabati

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