The Perfect 10 Casino and Resort is developing a new game unique
for our casino. We would like this game to use the traditional
gaming devices of craps (two dice), roulette (ball and wheel), and
cards (standard deck). In order to promote the casino as much as
possible, we have the winning combination to use the number ten as
much as possible. Also, our marketing strategy for the grand
opening of the casino will include a strong connection to this
newest, wildest game downtown. We have developed two options that
we would like you to examine for us.
For the game, we would like to have four outcomes: player (1) lost
initial bet, (2) paid grand prize, (3) paid $1,000, and (4) paid
$100. For our opening day, we would like to have the game consist
of a grand prize of $1,000,000 with a house edge within the $5—$10
range and the initial bet to be between $10 and $50. For our
regular operations, we would like to have a grand prize of $10,000
and payouts of $1,000 and $100 with a house edge within the
$1.50—$3.50 range and the initial bet to be between $5 and
$10.
Option 1:
Player wins:
? Grand prize if sum of two dice is 10, spin a 10 on the roulette
wheel, and draw two 10s.
? $1000 if sum of two dice is greater than 10, spin is less than
10, and draw two 10s.
? $100 if sum of two dice is less than 10, spin is greater than 10,
and draw two face cards.
Option 2:
Player wins:
? Grand prize if sum of two dice is 10, spin a 10 on the roulette
wheel, and draw two 10s.
? $1000 if the player gets two out of three of the Grand prize
outcomes.
? $100 if the player gets one out of the three of the Grand prize
outcomes.
Fill the below sheet.
Opening Night
Prize ($) 
Outcome 
Probability (fraction) 
Probability (decimal) 

1,000,000 

1,000 

100 

Bet: 

Total House Edge 
Regular Operations
Prize ($) 
Outcome 
Probability (fraction) 
Probability (decimal) 

10,000 

1,000 

100 

Bet: 

Total House Edge 
1.
Prize  outcome  probability in fraction  probability in decimal 
1000000  Sum on two dice=10,spin 10 on roulette wheel and two 10 cards  (3/36)x(1/37)x(6/1326)= 18/1766232  0.000010191 
1000  sum>10,spin<10 and 2 ten cards  (3/36)x(10/37)x(6/1326)=180/1766232  0.0001019 
100  sum <10, spin>10 and 2 face cards  (32/36)x(26/37)x(66/1326)=54912/1766232  0.03109 
Bet  
Total house edge  13.4019 
2.
prize  outcome  probability in fraction  probability in decimal 
10000  sum=10,spin 10 and 2 tens  (3/36)x(1/37)x(6/1326)=18/1766232  0.00001019 
1000  two out of 3 grand prize outcomes  4806/1766232  0.0027210 
100  one out of three grand prize outcomes  193248/1766232  0.1094 
Bet  
Total house edge  13.76 
Get Answers For Free
Most questions answered within 1 hours.