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AIM: Theoretical Probability


                       Do Now



          Basic Skills Quiz #12




                                  1
Basic Skills Quiz #12
1.) Evaluate the following and write your answer in simplest form.
               2
           3            2
               3


2.) Add.

            21.97 + 3.631
 3.) Solve the following equation.


           -3x - 9 = -18

 4.) What is 15% of 80?



 5.) Round the following to the nearest whole number.

                      168.1368




                                                                     2
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?




                                                                 3
Theoretical Probability:




                           4
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.




                                                                 5
1  

 A     
 B     
 C     
 D     




          6
2    

    A    
    B    
    C    
    D    




            7
3  




A         C    



B         D    




                  8
4  




A         C    


 B        D    




                  9
5  



 A     

 B     

 C     

 D     




          10
6  




 A        C    



 B        D        




                      11
7  




 A     
 B     
 C     
 D     




          12
8    




A               C    




B               D    




                        13
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 = _____




                                                                        14
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 = _____




                                                                     15
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.




                                                               16
Extra Practice




                 17
BEFORE YOU LEAVE
Describe the similarities and differences in your partner‛s
unbiased and biased spinners.




                                                              18
Before You Leave




                   19
Mr. Tjersland's Math 7




Homework: None




                                 20
AIM: Theoretical Probability




                               21
AIM: Theoretical Probability




                               22
AIM: Theoretical Probability




                               23

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Theoretical Probability Quiz

  • 1. AIM: Theoretical Probability Do Now Basic Skills Quiz #12 1
  • 2. Basic Skills Quiz #12 1.) Evaluate the following and write your answer in simplest form. 2 3 2 3 2.) Add. 21.97 + 3.631 3.) Solve the following equation. -3x - 9 = -18 4.) What is 15% of 80? 5.) Round the following to the nearest whole number. 168.1368 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? 3
  • 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. 5
  • 6. 1   A   B   C   D   6
  • 7. 2   A   B   C   D   7
  • 8. 3   A   C   B   D   8
  • 9. 4   A   C   B   D   9
  • 10. 5   A   B   C   D   10
  • 11. 6   A   C   B   D   11
  • 12. 7   A   B   C   D   12
  • 13. 8   A   C   B   D   13
  • 14. 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 = _____ 14
  • 15. 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 = _____ 15
  • 16. 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. 16
  • 18. BEFORE YOU LEAVE Describe the similarities and differences in your partner‛s unbiased and biased spinners. 18
  • 20. Mr. Tjersland's Math 7 Homework: None 20