9A Experimental Probability, 9B Sample Space, 9C Theoretical Probability Unit 1: Probability 9A, 9B, 9C 2/24/2019 12:52 AM.

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9A Experimental Probability, 9B Sample Space, 9C Theoretical Probability Unit 1: Probability 9A, 9B, 9C 2/24/2019 12:52 AM

can be expressed as fractions, decimals, or percentages Probability Copy study of chance experimental probability: observing results of an experiment theoretical probability: using arguments of symmetry 0 ≤ P(event) ≤ 1 can be expressed as fractions, decimals, or percentages 9A, 9B, 9C 2/24/2019 12:52 AM

NO SLANTED FRACTIONS Probability experimental probability: observing results of an experiment theoretical probability: using arguments of symmetry If flipping a coin… If rolling a die… All are based on theoretical probabilities. NO SLANTED FRACTIONS 9A, 9B, 9C 2/24/2019 12:52 AM

Experimental Probability number of trials: total number of times the experiment is repeated outcomes: different results possible for one trial frequency of a particular outcome: number of times the outcome is observed relative frequency of an outcome: is that outcome expressed as a fraction or percentage of the total number of trails In the absence of further data, we say the relative frequency of each event is our best estimate of each event occurring. Experimental Probability = Relative Frequency When is experimental probability reliable? The greater the number of trials, the more we can rely on the estimate. Copy 9A, 9B, 9C 2/24/2019 12:52 AM

Gambler’s Fallacy 9A, 9B, 9C 2/24/2019 12:52 AM

Sample Space ways to represent Copy set of all possible outcomes of an experiment ways to represent listing outcomes use brackets example: flipping a coin 2-dimensional grids useful with two operations example: a team’s results for two games tree diagrams useful with more than two operations example: pulling three marbles, one by one 9A, 9B, 9C 2/24/2019 12:52 AM

Theoretical Probability measure of the chance of an event occurring in any trial of an experiment containing equally likely possible results number of members of the event E total number of possible outcomes With the bag of marbles, determine: P(yellow) P(blue or green) P(primary color) Copy 9A, 9B, 9C 2/24/2019 12:52 AM

Complementary Events When rolling a die, determine: P(6) P(not a 6) P(1 or 2) P(neither a 1 or 2) two events are complementary if one of them must occur frequently helpful arrangement: Copy 9A, 9B, 9C 2/24/2019 12:52 AM

Guided Practice p. 260: 3 p. 266: 1 P. 269: 2 Read and follow all instructions. List the page and problem numbers alongside your work and answers in your notes. Use the back of the book to check your answers. Copy 9A, 9B, 9C 2/24/2019 12:52 AM