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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

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

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

Here is a video of the application:

http://www.youtube.com/watch?v=l00l82_LK2Y

Have a nice day!

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. ...

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...

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

Just for fun last night I thought I'd try to whip up a simulation of the simple card game war.  The hoyle rulebook - evenly divide the cards up between 2 players facedown, turn over top card, highest card wins.  In the event of a tie the higher of the next overturned card wins (the more common variant is to play 3 facedown cards and turn up the 4th) - but that introduces more complexity to the programming ... I thought I'd tackle that later, but first ...

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