Monte Carlo stimulation about gamble

I got a problem about writing the code of this question:

A gambler plays a sequence of fair games against an adversary in which the probability that the gambler wins $1 on any given game is 0.5 . We assume that initially the gambler has $5 and his adversary has $12. The game goes on until either of the players runs out of money, since no credit is allowed. If gambler runs out of money first, we say that he has been ruined. Write a computer program to simulate the sequence of games until one of the players is ruined.

Thx

Answer 1

[Image Analyst]

My Monte Carlo and random walk demos, attached, might help.

Answer 2

[Thorsten]

You can use this code

money = [5 12];
while ~any(money == 0)
  player1wins = rand(1,1) > 0.5;
  if player1wins
     money = money + [1 -1];
  else
     money = money + [-1 1];
  end
  money
end

[Alisha Pennington]

How would you run 500 simulations of this game?

[Image Analyst]

Put it in a loop that executes 500 times

for experiment = 1 : 500
    % Code to do one experiment....
end

See my demos attached in my answer.

[Angelika Ghazale]

ho can i plot this as a function of time?

[Image Analyst]

@Angelika Ghazale how is the time variable being determined? By calling now(), or toc()?