Ch 6 3 General Probability Rules AP STATISTICS

Ch 6. 3 General Probability Rules AP STATISTICS

Types of Probability Theoretical: true mathematical probability Empirical: the relative frequency with which an event occurs in a given experiment Subjective: an educated guess

Review Terms Experiment: any process that yields a result or observation Outcome: a particular result of an experiment Sample Space: the collection of all possible outcomes Event: any collection of outcomes; any subset of the sample space Example: Roll die Let A={1} Let B={2, 4, 6} Let C={3, 6} An event occurs if any outcome of the event occurs

Probability of Event P(A) = # of outcomes/# outcomes in sample space If each outcome is equally likely Using previous slide’s events: P(A)= P(B)= P(C)=

Rules of Probability

Rules of Probability

Rules of Probability

Probability Rules

Independent Events

Probability Rules

Example: Contingency Table G PG PG-13 R 2000 s 2 13 22 2 1990 s 1 1 7 0 1980 s 0 1 0 0 1970 s 0 1 0 0

G PG PG-13 R 2000 s 2 13 22 2 1990 s 1 1 7 0 1980 s 0 1 0 0 1970 s 0 1 0 0

Homework 6. 69, 71, 78 Have a wonderful weekend!