game kk
TRANSCRIPT
Team KK
THE WHEEL OF WOW
115
115125
150125
125
125
150
P(115)= 10/20P(125)= 4/20P(150)= 2/20P( )= 4/20
The Wheel of WoW
In order to spin the wheel of wow, one must first pay $100. Then step right up and spin
THE WHEEL OF WOW! If one lands on a number, that is the
amount of money that they win. The possibilities are $115, $125, and $150.
HOWEVER… if they land on the crossbones… THEN THEY
LOSE THEIR MONEY! Mwahahahahahahahahahahah
Expected Value: $-2.5 house advantage (aka house gains $2.50)
Standard Deviation: $49.80
THEORETICAL
Expected Value: $.90Standard Deviation: $43.96*SEE EMAIL FOR VIDEO*
EXPERIMENTAL
Theoretically, there is a house advantage of $2.50 and there is a standard deviation of
$49.80. This means that every time the wheel is spun, on average the house wins $2.50. After running 50 trials of the game, there is an experimental player advantage of $.90 and the standard deviation lowered
to $43.96. Although these numbers are different, the calculations of each are not
too far off and according to the law of large numbers, if we were to do more trials the numbers of the experimental trials should approach the theoretical probability. If we
wanted to create a larger house advantage, we could weigh the wheel to make it land on $0 more frequently or we could slightly
adjust the sizes of the spaces to make it appear a little more likely to land on
amounts other than $0.