1. Chapter 15 Probability Rules Robert Lauzon

2. Probability Single Events ●When you are trying to find the probability of a single outcome it can be found as in the number of outcomes under one 1 (# of possible outcomes)

3. Probability of events with multible of the same outcome If there are a number of the same outcomes the probability would be represented as the number of the same outcome over (# of same outcome) (# of possible outcomes)

4. General addition rule When two possible outcomes are disjoint you can just add them to find the probability of the desired outcomes. p(A + B)=P(A) + P(B)

5. General Addition Rule Cont. When different two outcomes are not disjoint we can simply add them together. we must account for the other outcomes overlap. P(A or B) = P(A) + P(B) – P(A and B)

6. Conditional Probability In order to find the probability of an outcome as a result of a different outcome you need to account for the first and setting it in the denominator

7. General multiplication Rule When two outcomes are independent you can simply multiply the events together. P(A and B) = P(A) x P(B) For conditional outcomes we have to adjust for the required outcome P(A and B) = P(A) x P(B|A)

8. Independence Vs. Disjoint Independance of an even means that the outcome of one does not affect the other. disjoint events mean that there are no outcomes in common so if one occurred the other didn’t.

9. Drawing without replacement Drawing without replacement is when once a outcome has occurred that outcome cannot happen again.

10. Example Questions 18.