1. Probability

2. Compound events can be independent or dependent events
Vocabulary
Compound event: or composite event consists in two or more simple events.
Compound events can be independent or dependent events
Events A and B are independents events if the probability that A occurs does not affect the probability that B occurs.
Events A and B are dependent event if the probability that A occurs in some way change the probability that B occurs.

3. To determine whether the events
Consider choosing object from a group of object.
If you replace the object each time, choosing additional objects are independents events.
If you do not replace the object each time, choosing additional objects are dependent events.

4. Probability of two Independent Events
The probability that two independent event both occurs is the product of the probability of each individual events.
If two events A and B are independent, then:
P(A and B)= P(A) . P(B)
Analyze Real World Example 2

5. Probability of two Dependent Events
The probability that two dependent event both occurs is the product of the probability that the first event occurs and the probability that the second event occurs after the first event has already occurred.
If two events A and B are dependent, then:
P(A and B)= P(A) . P(B(A)
Analyze Real World Example 3

6. Probability of Mutually Exclusive Events
To find the probability that one event occurs or another event occurs, you must know how two events are related. If two events cannot happen at the same time, they are said mutually exclusive. That is, the two events have no outcomes in common.

7. Probability of Mutually Exclusive Events
If two events A and B are mutually exclusive, then the probability that A or B occurs is the sum of the probabilities of each individual event.
If two event A or B are mutually exclusive, then
P(A or B) = P(A) + P(B)
Real-World Example 2 p 155

8. Probability of Event that are not Mutually Exclusive
If two events A and B are not mutually exclusive, then the probability that A or B occurs is the sum of their individual probabilities minus the probability that both A and B occur.
If two event A and B are not mutually exclusive, then
P(A or B) = P(A) + P(B) – P(A and B)
Real-World Example 3 p 156

9. Probability of the Complement of an Event
The probability that an event will not occur is equal to 1minus the probability that event will occur.
For an event A, P(not A) = 1 – P(A)
Example 4 p 157

11. Key Probability words
and --- independent or dependent events.
or --- mutually exclusive or not mutually exclusive.
not --- complementary events.
and then ---conditional
at least n ---- n or more
at most n ---- n or less