Mutually Exclusive, Independent, Dependent, and Complementary Events

1 / 10

# Mutually Exclusive, Independent, Dependent, and Complementary Events - PowerPoint PPT Presentation

Mutually Exclusive, Independent, Dependent, and Complementary Events. Sections 4.5, 4.6, 4.7. Mutually Exclusive Events. Events that cannot occur together. Example: Even or Odd number on die. NOT Mutually Exclusive. Mutually Nonexclusive . Example: Even or &lt; 5. Example.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'Mutually Exclusive, Independent, Dependent, and Complementary Events' - lucas-marsh

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Mutually Exclusive, Independent, Dependent, and Complementary Events

Sections 4.5, 4.6, 4.7

Mutually Exclusive Events
• Events that cannot occur together.
• Example: Even or Odd number on die.
NOT Mutually Exclusive
• Mutually Nonexclusive.
• Example: Even or < 5
Independent vs. Dependent Events
• Two events are Independent if the occurrence of one does not change the probability of the other.
• P(A | B ) = P(A) or P(B | A) = P(B)
• If P(A | B ) ≠ P(A) or P(B | A) ≠ P(B), then the events are Dependent.
Example: Independent or Dependent?
• Event “Female” and Event “in favor”
Observations:
• Two events are either Mutually Exclusive or Independent.
• Mutually exclusive events are always dependent.
• Independent events are never mutually exclusive.
• Dependent events may or may not be mutually exclusive.
Complementary Events
• The complement of event A is the event that includes all outcomes that are not A.
• Notation A and A.
• Complementary Events are always mutually exclusive.
• Two complementary events must be all the outcomes of an experiment.
• P(A) + P(A) = 1.