際際滷

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The A Team

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Vroom Vroom




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The Description of the Game
Roll two six-sided dice to find a sum. The sum
  will be between 2-12. Each sum has a prize
  that will be awarded, a car. Each car has a
  price value. To play the game, you must pay
  $50.
        Click on each box to see the prize for each sum.
             2       3       4        5        6        7


                 8       9       10       11       12

Click here
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A sum of 7
You will receive nothing.




This has a value of $0.




 Back to
Description
A sum of 6
You will receive an Aston
Martin DBS (in red).

                              JUST
This has a value of $5.     KIDDING!


 Back to
Description
A sum of 8
You will receive a Power
wheels Barbie Jammin
Jeep.
*not to scale.



This has a value of $5.




 Back to
Description
A sum of 5
You will receive Fred
Flintstones car.




This has a value of $25.




 Back to
Description
A sum of 9
You will receive
Cinderellas carriage.




This has a value of $25.




 Back to
Description
A sum of 4
You will receive The
Mystery Machine.




This has a value of $75.




 Back to
Description
Sum of 10
You will receive the
Weasleys Ford Anglia
flying car.
*It does fly.



This has a value of $75.




 Back to
Description
A sum of 3
You will receive Lightning
McQueen.




This has a value $130.




 Back to
Description
A sum of 11
You will receive Luke
Skywalkers X-34
Landspeeder.




This has a value of $130.




 Back to
Description
A sum of 2
You will receive Doc
Browns 1981 DeLorean
DMC-12.
*Includes flux capacitor.



This has a value of $200.




 Back to
Description
A sum of 12
You will receive the Wayne
Industries 2009 Tumbler
(in black).

AKA THE
BATMOBILE!!!!
*Batman not included.
This has a value of $200.




 Back to
Description
Expected Value and Standard Deviation
             x      0        5         25        75        130       200
             P(x)   6/36     10/36     8/36      6/36      4/36      2/36
袖= 0(6/360)+5(10/36)+25(8/36)+75(6/36)+130(4/36)+200(2/36)=45
族= 6/36(0-45)族+10/36(5-45)族+8/36(25-45)族+6/36(75-45)族+4/36(130-45)族+2/36(200-
    45)族=3158.333
=56.199
The expected value of this games is $45. The expected standard deviation is
   $56.20.
Using the randInt function on the calculator, we were able to perform 50 trials.
   We performed a simulation with a range of 1-6 and 50 trials for the first die
   and put it into List 1. Then we performed a second simulation with a range of
   1-6 and 50 trials and put the numbers into List 2. Finally, we added the two
   lists together find the sums of the 50 trials into List 3.
Through the simulation, the average found was $47 and the standard deviation
   was $59.67.

Click here
continue
Results
Sum          Amount   This table shows the outcomes of our simulation.
(Value in $)
2 ($200)   1          The expected value, 45, and the mean found through
                      the simulation, 47, were relatively close to each other.
3($130)    3          Also, the theoretical standard deviation, 56.199, and
4($75)     1          the standard deviation found in simulation, 59.67,
5($25)     7          were relatively close to each other.
6($5)      10
                      There were no surprises found throughout the
7($0)      9          simulation and the casino makes an expected profit of
8($5)      0          $5 for each game that a person plays.
9($25)     9
                      The only improvements that the casino could make, in
10($75)    5
                      our perspective, is for them to charge more money to
11($130)   2          play the game. Therefore, the profit would be greater.
12($200)   3

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Team a

  • 1. The A Team Click here continue
  • 3. The Description of the Game Roll two six-sided dice to find a sum. The sum will be between 2-12. Each sum has a prize that will be awarded, a car. Each car has a price value. To play the game, you must pay $50. Click on each box to see the prize for each sum. 2 3 4 5 6 7 8 9 10 11 12 Click here continue
  • 4. A sum of 7 You will receive nothing. This has a value of $0. Back to Description
  • 5. A sum of 6 You will receive an Aston Martin DBS (in red). JUST This has a value of $5. KIDDING! Back to Description
  • 6. A sum of 8 You will receive a Power wheels Barbie Jammin Jeep. *not to scale. This has a value of $5. Back to Description
  • 7. A sum of 5 You will receive Fred Flintstones car. This has a value of $25. Back to Description
  • 8. A sum of 9 You will receive Cinderellas carriage. This has a value of $25. Back to Description
  • 9. A sum of 4 You will receive The Mystery Machine. This has a value of $75. Back to Description
  • 10. Sum of 10 You will receive the Weasleys Ford Anglia flying car. *It does fly. This has a value of $75. Back to Description
  • 11. A sum of 3 You will receive Lightning McQueen. This has a value $130. Back to Description
  • 12. A sum of 11 You will receive Luke Skywalkers X-34 Landspeeder. This has a value of $130. Back to Description
  • 13. A sum of 2 You will receive Doc Browns 1981 DeLorean DMC-12. *Includes flux capacitor. This has a value of $200. Back to Description
  • 14. A sum of 12 You will receive the Wayne Industries 2009 Tumbler (in black). AKA THE BATMOBILE!!!! *Batman not included. This has a value of $200. Back to Description
  • 15. Expected Value and Standard Deviation x 0 5 25 75 130 200 P(x) 6/36 10/36 8/36 6/36 4/36 2/36 袖= 0(6/360)+5(10/36)+25(8/36)+75(6/36)+130(4/36)+200(2/36)=45 族= 6/36(0-45)族+10/36(5-45)族+8/36(25-45)族+6/36(75-45)族+4/36(130-45)族+2/36(200- 45)族=3158.333 =56.199 The expected value of this games is $45. The expected standard deviation is $56.20. Using the randInt function on the calculator, we were able to perform 50 trials. We performed a simulation with a range of 1-6 and 50 trials for the first die and put it into List 1. Then we performed a second simulation with a range of 1-6 and 50 trials and put the numbers into List 2. Finally, we added the two lists together find the sums of the 50 trials into List 3. Through the simulation, the average found was $47 and the standard deviation was $59.67. Click here continue
  • 16. Results Sum Amount This table shows the outcomes of our simulation. (Value in $) 2 ($200) 1 The expected value, 45, and the mean found through the simulation, 47, were relatively close to each other. 3($130) 3 Also, the theoretical standard deviation, 56.199, and 4($75) 1 the standard deviation found in simulation, 59.67, 5($25) 7 were relatively close to each other. 6($5) 10 There were no surprises found throughout the 7($0) 9 simulation and the casino makes an expected profit of 8($5) 0 $5 for each game that a person plays. 9($25) 9 The only improvements that the casino could make, in 10($75) 5 our perspective, is for them to charge more money to 11($130) 2 play the game. Therefore, the profit would be greater. 12($200) 3