You should use MATLAB to solve the problem below. You have three dice. Each die

Question

You should use MATLAB to solve the problem below.

You have three dice. Each die has equal probability 1/6 to land on numbers 1,..,6. You roll the dice and record the sum of the three numbers you obtain. If the sum is 3 or 18, you win the game. You always play this game until you win. Let Y denote the number of trials it took you to win (rolling 3 dice is a trial). After 1000 victories you have a vector of 1000 Y values. Plot the histogram of the obtained Y values. Add graphical parameters to your plot and save it as a .jpg le. Compare your histogram with the pdf plot obtained in the previous problem.

Explanation / Answer

NumberOfDices = 3;
NumberOfFaces = 6;
NumberOfRoll = 50;
AllRoll = randi(NumFace, NumRoll, NumDice);
SumRoll = sum(AllRoll, 2);
Bins = (NumberOfRoll:NumberOfFaces * NumberOfDices)';
if ( SumRoll == 3 || SumRoll == 18)
end
hist(SumRoll, Bins);
title(sprintf('Histogram generated from %d rolls of %d %d-sided dice', NumRoll, NumDice, NumFace));
xlabel(sprintf('Sum of %d dice', NumDice));
ylabel('Count');

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