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Introduction to Probability
Objective: Find the theoretical probability of an event.
%7.15 %2.1012 %40%34 %5.66 %9.42
%7.15 %2.1012 %40%34 %5.66 %9.42
22 255 cm 22 93 in
Random Outcomes
Theoretical Probability
Example 1
Example 1
Try This
• Find the probability of randomly selecting a blue disk in one draw from a container that contains 2 red disks, 3 blue disks, and 3 yellow disks.
Try This
• Find the probability of randomly selecting a blue disk in one draw from a container that contains 2 red disks, 3 blue disks, and 3 yellow disks.
• The event is selecting one blue disk. The number of outcomes in the event is 3.
• The sample space is 8.
%5.378
3
Example 2
Example 2
Try This
• Find the probability of a dart landing in region B of the dartboard.
Try This
• Find the probability of a dart landing in region B of the dartboard.
%3.339
3
3
12
area total
Aregion of area)(
2
22
AP
Example 3
Example 3
Try This
Try This
%3.333
1
30
10 %7.6
15
1
30
2
Fundamental Counting Principle
• If there are m ways that one event can occur and n ways that another event can occur, then there are m x n ways that both events can occur.
Example 4
Example 4
Example 5
Example 5
Homework
• Pages 633-634• 9-23 odd• 27-35 odd