caslogo

dice

The picture above shows the playing field of a slot machine featuring
three concentric, independently rotating disks, each with 7 positions
marked with the 6 standard dice values plus a special blank die which
has the value 0. In practice, you would insert a dollar, click on a
button that says Play and watch the disks spin. The disks come to
rest with the dice lined up. Each triple of lined-up dice is added and
the value of the sum in each position is displayed.

There are two ways to win: 

You can win two dollars if at least one of these sums
equals 7 and at least one of the sums equals 11.

You can win the fifty dollar SuperJackpot if all
seven  positions add up to 9.
 

What makes this slot machine different and interesting is that you get
to position the dice yourself before playing! Follow the simple
instructions for the applet on the next page.

The only requirement is that you must use all six different dice values
plus one blank die in each of the three disks. But how you distribute
them is entirely up to you. You're going to see that the method of
distribution makes a great deal of difference to your gambling success.
For instance, don't use this arrangement:

       (0,1,2,3,4,5,6) (0,1,2,3,4,5,6) (0,6,4,2,5,3,1) 

because it cannot produce any 7/11 winners or SuperJackpots. With
this arrangement, the expected value of the game is minus $1 - you
lose a dollar every time. However, other arrangements can produce
games with a positive expected value. That means you can make
unlimited amounts of money if you stay at it long enough!

See how well you can do. Try the game!

Original mathematical design c 1999 by Dean Clark