Homework Lesson 10 1page 633 10 18 even

Homework Lesson 10. 1_page 633 #10 -18 even #26 -29 ALL

Lesson 10. 1 Intro to Probability

Overview Probability is the study of random events. The probability, or chance, that an event will happen can be described by a number between 0 and 1: Impossible 0 = 0% 50 – 50 Chance ½ , . 5, 50% Certain 1 = 100%

Vocabulary Definition Examples Trial: a systematic opportunity for an event to occur Rolling a number cube Experiment: one or more trials Rolling a number cube 10 times Sample space: the set of all possible outcomes of an event 1, 2, 3, 4, 5, 6 Event: an individual outcome or Rolling a 3 any specified combination of outcomes Rolling a 3 or rolling a 5

The outcomes of an experiment is the way it can happen. Outcomes are random if possible outcomes are equally likely. 6 10 12 52

Experimental Probability (inductively) vs. Theoretical Probability (deductively)

Theoretical Probability •

Try these… a) b) P(re 1 d)A 5 B 1 4 P(bl 2 ue) A 5 B 1 4 P(yellow or 3 blue) A 5 B 1 2

DICE What is the probability of getting an even number? P(even) 6 12

The Probability of an Event = the number of possible outco P(Event) = the number of ways it can happen P(H+T) __ = 2 __ = 4 1 2 H? H T T H

COINS What is the probability of flipping two coins and getting H first and then T? P(H & then T) 1 =4

Fundamental Counting Principle If there are “m” ways that one event can occur and “n” ways that another event can occur, then there are (m x n) ways that both events can occur

Example A café’s lunch special is a hamburger meal. It comes with a choice of beverage (soda or tea) and a choice of salad (garden, potato, or bean). Create a tree diagram that shows the sample space.

Example A license plate consists of 2 letters followed by 3 digits. The letters, A-Z, and the numbers 0 -9, can be repeated. Find the probability that your new license plate contains the initials of your first and last names in their proper order.