Chapter 1 Section 6 Probability Algebra 2 Notes

Chapter 1 Section 6 Probability Algebra 2 Notes February 9, 2009

Chapter 3 Notebook Quiz 1. What are the 3 classifications of linear systems? (Section 3. 1; Jan 26) 2. What is the answer to warm-up question #6 on January 26? 3. What is the definition of linear programming? (Section 3. 4; Jan 29) 4. What was the objective function that would maximize profit for mixed nuts and peanuts? (Section 3. 4; Jan 30) 5. If the graph of a plane intersects one of the coordinate planes in a line, what is that line called? (Section 3. 5; Feb 3)

Notebook Quiz Answers 1. Independent, Dependent, Inconsistent 2. 5 x 3. A technique that identifies the maximum or minimum value of some quantity 4. P = 18 x + 15 y 5. A trace

Probability Probability: measures how likely it is for an event to occur. ◦ Can be expressed as percents 0%-100% ◦ Or can be expressed as real numbers 0 -1 Impossible Event: Probability is 0 or 0% Certain Event: Probability is 1 or 100%

Experimental Probablity Use data gathered from observations (experiments) to calculate an experimental probability

Experimental Probablity When the University of Texas won college football’s national championship in the 2006 Rose Bowl game, its quarterback completed 30 out of 40 passes. Find the experimental probability of the quarterback completing the first pass in the next game.

Theoretical Probability Sample Space: The set of all possible outcomes Theoretical Probability: ◦ a. k. a. “Let’s say…” probability

Theoretical Probability Let’s say you roll one regular 6 -sided die one time. Find theoretical probability of rolling an even number. ◦ Total possible outcomes: 6 numbers on a regular die (1 -6) ◦ Number of outcomes of the event: 3 even numbers

Theoretical Probability A jar contains 30 red marbles, 50 blue marbles, and 20 white marbles. You pick one marble from the jar at random. Find each theoretical probability: 1. P (not white) 2. P (red or white)

Geometric Probablity Suppose that all the points on the circular dartboard shown on page 42 are equally likely to be hit by a dart you have thrown. Find the probability of scoring at least 10 points. Using the same dartboard find the following probability: P (scoring 5 points)

Homework #21 Pg 42 #1, 6, 7, 10, 14, 17, 24, 25, 28 -30, 34, 35