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AIM: Probability Models



                      Do Now




                               1
Anticipatory Set
Today we will create a Probability Model for spinning a
penny and tossing a paper cup. A Probability Model is a
mathematical representation of a random phenomenon,
which includes the sample space and the probability
associated with each event.


Sample Space of Spinning a Penny:



Sample Space of Tossing a Paper Cup:




                                                          2
Predicted Probabilities associated with Spinning a Penny:




Predicted Probabilities associated with Tossing a Paper Cup:




                                                               3
Questions:
1.) Explain your predicted probabilities associated
with Spinning a Penny.




2.) Explain your predicted probabilities associated
with Tossing a Paper Cup.




                                                      4
5
Experimental Probabilities associated with Spinning a Penny:




Experimental Probabilities associated with Tossing a Paper
Cup:




                                                               6
Questions:
1.) How did your predicted probabilities compare with the
experimental probabilities?



2.) What are the key differences between a penny and a cup that
effects the probability models?



3.) How would you re-design the cup to increase the likelihood of
the cup landing open-end down.




                                                                    7
Coin Flip Unfair?


 Coin Flipper




                    8

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Probability models

  • 2. Anticipatory Set Today we will create a Probability Model for spinning a penny and tossing a paper cup. A Probability Model is a mathematical representation of a random phenomenon, which includes the sample space and the probability associated with each event. Sample Space of Spinning a Penny: Sample Space of Tossing a Paper Cup: 2
  • 3. Predicted Probabilities associated with Spinning a Penny: Predicted Probabilities associated with Tossing a Paper Cup: 3
  • 4. Questions: 1.) Explain your predicted probabilities associated with Spinning a Penny. 2.) Explain your predicted probabilities associated with Tossing a Paper Cup. 4
  • 5. 5
  • 6. Experimental Probabilities associated with Spinning a Penny: Experimental Probabilities associated with Tossing a Paper Cup: 6
  • 7. Questions: 1.) How did your predicted probabilities compare with the experimental probabilities? 2.) What are the key differences between a penny and a cup that effects the probability models? 3.) How would you re-design the cup to increase the likelihood of the cup landing open-end down. 7
  • 8. Coin Flip Unfair? Coin Flipper 8