This is a standard Monte Carlo simulation. Is this homework, or just a puzzle that you're wanting to do? First of all you need to describe an experiment as Tom pulling 2 cards, replacing them, and Laura taking two cards and replacing them. Then you run that experiment a lot, say a million times, keeping track of the results each time. Note that this is the same as donig Tom a million times and then doing Laura a million times since when Larua draws, it's from the full set of cards. Then get the percentages over the million experiments. Here's a hint. You can use randperm() to get a draw of two cards like this
drawnCards = randperm(10, 2); % Get two random numbers between 1 and 10.
Now you need to check what his prize is. There are more efficient ways to do it, but this way is easy to understand. I show for Tom. Run again for Laura.
clc;
tic;
prizeAmounts = [1000, 500, 200, 300, 0, 0, 0, 0, 0, 0];
% First do for Tom
numPrizesWon = 0;
moneyWon = 0;
totalNumberOfExperiments = 10000;
for experiment = 1 : totalNumberOfExperiments
drawnCards = randperm(10, 2);
% Count the money won during this experiment.
moneyWonThisTime = sum(prizeAmounts(drawnCards));
% Add it to our grand total amount won over all experiments so far.
moneyWon = moneyWon + moneyWonThisTime;
% Count the number of prizes won
wonPrize = ismember(drawnCards, 1:4); % 0 or 1 depending if he won
numPrizesWon = numPrizesWon + sum(wonPrize);
end
fprintf('Tom drew %d cards in %d experiments.\n%d cards won, and he won a grand total of %d cents\n',...
2*totalNumberOfExperiments, totalNumberOfExperiments, numPrizesWon, moneyWon);
toc;
tic;
% Now do for Laura.
I didn't really understand the grammar of the last sentence so I don't know what that means but I'm sure it would be easy to check for, if you did know what it meant.
