Statistics 300: Introduction to Probability and Statistics

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Section 4-2 Statistics 300: Introduction to Probability and Statistics.

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Presentation transcript:

Statistics 300: Introduction to Probability and Statistics Section 4-3

Probability Chapter 4 Section 2: Fundamentals Section 3: Addition Rule Section 4: Multiplication Rule #1 Section 5: Multiplication Rule #2 Section 6: Simulating Probabilities Section 7: Counting

Addition Rule P(A or B) = ? One die: P(2 or 5) = ? One die: P(odd or >4) = ?

The Addition Rule P(A or B) = P(A) + P(B) - P(A and B)

Concept of “Mutually Exclusive” outcomes

If event A and event B cannot happen together, then A and B are “mutually exclusive” and

On one roll of a die: P(3 and 4) = 0 On one roll of a die: P(3 and 4) = 0 mutually exclusive P(4 and “even”) > 0 not mutually exclusive

Using complementary events can make our lives easier!

Probability Rules for Complementary Events P(A) + P(A) = 1 P(A) = 1 - P(A) P(A) = 1 - P(A)