The document discusses probabilities of disjoint and overlapping events. Disjoint events have no common outcomes, while overlapping events share at least one outcome. It provides examples of calculating probabilities of disjoint and overlapping events. Complementary events are disjoint and their probabilities must sum to 1, with the probability of an event not occurring equaling 1 minus the probability of it occurring.

1. 11.8 Probabilities of Disjoint
and Overlapping Events
April 26, 2011

4. Disjoint Events or Mutually Exclusive
Events: events that have no common
outcomes.

5. Disjoint Events or Mutually Exclusive
Events: events that have no common
outcomes.
Overlapping Events: events that have
one or more outcomes in common.

7. Example 1:

8. Example 1:

9. Example 1:

13. Example 2:

14. Example 2:

19. Example 3:

20. Example 3:

22. Two events are complementary
events if they are disjoint events and one
event or the other must occur.

23. Two events are complementary
events if they are disjoint events and one
event or the other must occur.
The sum of the
probabilities of t wo
complementary
events is 1.

24. Two events are complementary
events if they are disjoint events and one
event or the other must occur.
P(not A) = 1
- P(A) The sum of the
probabilities of t wo
complementary
events is 1.

25. Example 4:

26. Example 4: