1. 9A Experimental Probability, 9B Sample Space, 9C Theoretical Probability
Unit 1: Probability
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2. can be expressed as fractions, decimals, or percentages
Probability
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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
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3. 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
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4. 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.
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5. Gambler’s Fallacy
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6. Sample Space ways to represent
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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
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7. 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)
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8. 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:
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9A, 9B, 9C
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9. 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.
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9A, 9B, 9C
2/24/ :52 AM