Theoretical Probability – the probability of an event ...



Theoretical Probability – the probability of an event occurring in theory

|Example: P(sum of 7) when rolling 2 fair number cubes. Show work! | |

|Experimental Probability – the probability of an event occurring |Grade |

|based on the results of an experiment. Remember, the more trials|Passing Score |

|you run, the closer your experimental probability will get to | |

|matching the theoretical probability! |6 |

| |2/5 |

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| |7 |

| |1/8 |

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| |8 |

| |1/4 |

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| |9 |

| |1/2 |

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| |10 |

| |3/5 |

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| |What is the number of 8th graders that would have a passing score|

| |if 80 students took the test? |

|Listing Combinations – Showing the different combinations using a|Example: Show the different combinations of 20 cents using dimes,|

|systematic approach so nothing gets repeated. |nickels, and pennies? |

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| |Least amount of coins used? Most? |

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|Counting Principle - To determine the number of possible |Example: 5 types of sauce, 5 choices of meat, 4 types of veggies?|

|outcomes. | |

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|Tree Diagrams – Showing the different combinations of events. |Example: How many ways can you get two heads if you flip a coin |

| |three times? |

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|Independent Events – When one event does not affect the second |Example: 5 green, 4 blue, 1 white marble. |

|event. | |

| |What is the probability of selecting a green, replacing it, and |

| |selecting a blue the second time? |

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|Dependent Events – When one event affects the second event. |Example: 5 green, 4 blue, 1 white marble. |

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| |What is the probability of selecting a green, not replacing it, |

| |and selecting a green the second time? |

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|Combinations – Order does not matter. You are eliminating the |Example: How many ways can 3 friends be chosen from a group of 8?|

|duplicates! | |

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|Calculator - nCr | |

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|Permutations - Order does matter. You are not eliminating the |Example: How many ways can a President, VP, and secretary be |

|duplicates! |arranged from a group of 5 people? |

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|Calculator – nPr or ! |How many ways can 4 racing dogs cross the finish line? |

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