## How to identify whether biased game is changed bas...

How to identify whether biased game is changed based on the latest toss from a sequence

can HMM identify this?

for example

if

fair fair fair biased biased fair fair biased

## question: roll the bones...

my_sol.mw

Leonhard is playing a casino game. He places his bet and then rolls a
pair of dice: if the dice sum to 7, 8 or 9 then Leonhard wins the amount of his
bet, and otherwise Leonhard loses his money. Leonhard begins with \$100 and
decides to bet \$50 at time, until he has either won \$100 or has gone broke. What
are the chances that Leonhard leaves the casino a winner?

My soln doesn't agree with the stated answer..25/74

## Maple SOKOBAN game

by: Maple

I made 3 years ago a SOKOBAN game using Maple for my Math/Programming class.

Here is a video of the application:

Have a nice day!

## Exponential Growth - Game Theory...

One thing I have always found interesting is that exponential growth/decay
is not symmetrical hence:

100*(1+0.01)^2+100*(1-0.01)^2-200 = 0.0200

For example:

If you start with 100 and bet 1% and you win and then again bet 1% of your portfolio value
and you win again your portfolio value will be PW=100*(1+0.01)^2.

If you start with 100 and bet 1% and you lose and then again bet 1% of your portfolio value
and you lose again your portfolio value will be PL=100*(1-0.01)^2. ...

## Does there exist a list of chosen numbers by 649 p...

Sorry that this may not belong here but I thought I would ask, it is interesting.

Now I'm not asking for the winning numbers list but rather the numbers chosen by people (the thousands of non winning ticket numbers per game)  Is there a database somewhere we can access that stores the list of picked numbers?  It would be interesting to find out how randomly people pick numbers, do people flock to certain numbers more often than others?

I...

## How may I obtain 2-simplex and 3-simplex?...

Good morning,

I want to  to show the 2-simplex (in R^2) obtained from the inequality

x+ y+ z < = 12*a

with a:=1;

x, y, z  >= 0.

(the angles of the triangle are (12,0,0), (0,12,0) and (0,0,12) )

The CORE of a cooperative game, is the set points that additionally satisfy the system

x+ y >= 6

x+ z >= 6

y + z >= 6