1. The Wonder Wheel
Team S

2. $175
$155
$155
2
5
$35
8
3
$35
6
$250
$155
$175
4
7
1

3. Description of Game
• Pay $150 to play this very fun game
• Spin the Wonder Wheel
• Whatever amount of money that you land on,
is the amount of money that you win!
• The other numbers on each wedge do not
have anything to do with the money you will
win
• Don’t forget to have fun!

4. Theoretical Expected Value and
Standard Deviation
X=price on wheel-price you have
to pay
• Expected Value:
μx=5(3/8)+25(1/4)+100(1/8)115(1/4)=-8.125
μx=-8.125
This means that on average, the
players can expect to lose $8.13
each time they play and the
casino makes an average of $8.13
each time someone plays.
X=price on wheel-price you have
to pay
• Standard Deviation:
σX 2=
(3/8)(5+8.13)2+(1/4)(25+8.13)2+(1/8)(100+8.13)2+
(1/4)(-115+8.13)2
σX 2=1223.0933
σX= 34.97
The money that the players win
or lose varies on average $34.97.

5. Experimental Expected Value and
Standard Deviation
X (aka money
made)
P(X)
175
14/50
155
18/50
250
6/50
35
12/50
Expected Value:
μx=
25(14/50)+5(18/50)+100(6/50)115(12/50)=-6.8
μx= -6.8
This means that on average, the players
can expect to lose $6.80 each time they
play and the casino makes an average of
$6.80 each time someone plays.
Standard Deviation:
σX 2 =
((14/50)(25+6.8))2+((18/50)(5+6.8))2
+((6/50)(100+6.8))2+((12/50)(115+6.8))2 =30.14
σX 2 =30.14
The money that the players win or
lose varies on average $30.14.

6. Conclusion
• This game could be very successful if it was
put into a casino. It is very attractive to players
because of the large amounts of money they
can win. Also, as both the theoretical and
experimental data shows, there is a house
advantage in the game. This game could be
improved by having a lower standard
deviation. This would lower the variations of
game winning numbers.