introduction to probability objective: find the theoretical probability of an event
TRANSCRIPT
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Introduction to Probability
Objective: Find the theoretical probability of an event.
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%7.15 %2.1012 %40%34 %5.66 %9.42
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%7.15 %2.1012 %40%34 %5.66 %9.42
22 255 cm 22 93 in
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Random Outcomes
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Theoretical Probability
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Example 1
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Example 1
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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.
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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
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Example 2
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Example 2
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Try This
• Find the probability of a dart landing in region B of the dartboard.
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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
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Example 3
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Example 3
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Try This
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Try This
%3.333
1
30
10 %7.6
15
1
30
2
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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.
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Example 4
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Example 4
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Example 5
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Example 5
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Homework
• Pages 633-634• 9-23 odd• 27-35 odd