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AIM: Theoretical Probability


                       Do Now




                                1
Homework: Pages 522-523 #4-12 all, 15-19 all, 21




                                                   2
3
Anticipatory Set

The other day we completed an experiment involving rolling
two dice to find what the most frequently occurring sum would
be. Today we will find the theoretical probability of each sum
occurring.

1.) Based on the Fundamental Counting Principle, how many
possible outcomes can there be for rolling two six sided dice?




                                                                 4
Theoretical Probability:




                           5
4.) Based on the theoretical probabilities of the sums, which
should be the most frequently occurring sum? Was this the same
result as your experiment? Explain why or why not.




                                                                 6
1        

    A        
    B        
    C        
    D        




                7
8
2        

    A        
    B        
    C        
    D        




                9
3    




A           C    



B           D    




                    10
4        




A               C    


    B           D    




                        11
5        



    A        

    B        

    C        

    D        




                12
6        




    A           C    



    B           D        




                            13
7        




    A        
    B        
    C        
    D        




                14
8    




A           C    




B           D    




                    15
5.) A fair 1-6 number cube is rolled. Find the probability of rolling
a number greater than 1.




Fraction = ____         Decimal = ____        Percent = _____




6.) A standard deck of playing cards has 52 cards. These cards are
divided into four 13-card suits: hearts, clubs, spades, and
diamonds. Find the probability of drawing a spade?




Fraction = ____          Decimal = ____        Percent = _____




                                                                        16
7.) A standard deck of playing cards has 52 cards. These cards are
divided into four 13-card suits: hearts, clubs, spades, and
diamonds. Find the probability of drawing a black queen.




Fraction = ____       Decimal = ____       Percent = _____




                                                                     17
8.) In number 5, a fair number cube was used in the example.
What does fair mean in that example? Explain your answer.



9.) Draw an unbiased spinner with four sections below.




10.) Draw a biased spinner with four sections below.




                                                               18
Extra Practice




                 19
BEFORE YOU LEAVE
Describe the similarities and differences in your partner‛s
unbiased and biased spinners.




                                                              20
Before You Leave




                   21
Mr. Tjersland's Math 7




Homework: Pages 526-527 #1-8 all, 13-17 all




                                              22
AIM: Theoretical Probability




                               23
AIM: Theoretical Probability




                               24
AIM: Theoretical Probability




                               25

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Day 4 theoretical probability

  • 2. Homework: Pages 522-523 #4-12 all, 15-19 all, 21 2
  • 3. 3
  • 4. Anticipatory Set The other day we completed an experiment involving rolling two dice to find what the most frequently occurring sum would be. Today we will find the theoretical probability of each sum occurring. 1.) Based on the Fundamental Counting Principle, how many possible outcomes can there be for rolling two six sided dice? 4
  • 6. 4.) Based on the theoretical probabilities of the sums, which should be the most frequently occurring sum? Was this the same result as your experiment? Explain why or why not. 6
  • 7. 1   A   B   C   D   7
  • 8. 8
  • 9. 2   A   B   C   D   9
  • 10. 3   A   C   B   D   10
  • 11. 4   A   C   B   D   11
  • 12. 5   A   B   C   D   12
  • 13. 6   A   C   B   D   13
  • 14. 7   A   B   C   D   14
  • 15. 8   A   C   B   D   15
  • 16. 5.) A fair 1-6 number cube is rolled. Find the probability of rolling a number greater than 1. Fraction = ____ Decimal = ____ Percent = _____ 6.) A standard deck of playing cards has 52 cards. These cards are divided into four 13-card suits: hearts, clubs, spades, and diamonds. Find the probability of drawing a spade? Fraction = ____ Decimal = ____ Percent = _____ 16
  • 17. 7.) A standard deck of playing cards has 52 cards. These cards are divided into four 13-card suits: hearts, clubs, spades, and diamonds. Find the probability of drawing a black queen. Fraction = ____ Decimal = ____ Percent = _____ 17
  • 18. 8.) In number 5, a fair number cube was used in the example. What does fair mean in that example? Explain your answer. 9.) Draw an unbiased spinner with four sections below. 10.) Draw a biased spinner with four sections below. 18
  • 20. BEFORE YOU LEAVE Describe the similarities and differences in your partner‛s unbiased and biased spinners. 20
  • 22. Mr. Tjersland's Math 7 Homework: Pages 526-527 #1-8 all, 13-17 all 22