MATLAB: Command rand and functions

functionhomework

Hi guys I have this question as an assignment question can someone help out please thanks 🙂

Suppose you are at a casino playing roulette and that you are betting on black to turn up. You start by betting $1. If you win you bet another $1 in the next game. If you lose double your previous bet. You will stop playing when you have either won at least 10 or lost more than $100. By use of script file simulate this system.Then play the game 5000 times and record your performance.

Hint: use the command rand

Best Answer

hi, try and verify this version:

N=5000;
S=zeros(1,N);
S(1)=1; % 1$
 win=0;
 lost=0;
 threshold=0.5;
 for n=1:N-1
r=rand();
if r>=threshold
    win=win+1;
    S(n+1)=1+S(n);
elseif r<threshold
    lost=lost+1;
    S(n+1)=S(n)-2;
end
if win>10
 disp('  Congra!  you won the game');
break;
end
if lost>50
disp(' You lost');
break;
end
end
figure, plot(S(1:n)), title(' Game progress')

Related Solutions

MATLAB: Roulette Algorithm Probability Loop

I got it! Here is my code!!!

%Starting Over
%Algorithm #3
%Simulating Roulette
fprintf('\t\t\t\tSimulating Roulette\n\n')
%Constants and Variables
A = 315;             %starting amount of money
initial =  5;        %Initial bet amount
WIN = 335;           %Condition for a win
LOSE = 0;            %Condition for loss
betamount = initial; %set bet amount to 5      
g = 1;               %counter for random numbers 
profit = 0;          %profit counter
y = 1000000;         %amount of games we wil play   
N = ((log(A+5)-log(5))/log(2));      %Number of bets
Pwinner = (1 - (1/2^N))^4;           %Probability of a win
a = initial * (2^N -1);              %bid condition for a loss
Gwinner = (1 - (10/19)^N)^4;         %probability of win with green slots 
%Allow Green Slots?
x = input('Do you want to allow for the green slots (0=No, 1=Yes)?   ');
%Generate random numbers that the game will use
if x == 0;
    r = randi([1,36],[20000000 ,1]);
    round(r);
else
    r = randi([1,38],[20000000 ,1]);
    round(r);
end
fprintf('Please wait while computer simulates game 1000000 times');
%Solution
for i = 1:y                             %Number of times the loop will run
    A = 315;                            %Reset amount of money to 315 
                                        %every game
    while A < WIN && A > LOSE           %Condition for loop
    if betamount > A                    %Can't over bid
        betamount = A;  
    end
    A = A - betamount;                  %Subtract bet from total money
    if r(g)<= 18                        %Condition for win/loss
        A = A + (betamount *2);         %Recalculates total money
        betamount = initial;            %Resets bet to 5
    else
        betamount = betamount * 2;      %If I lose double my bet
        end
    g = g + 1;                          %used with r(g) to isolate integers
      end
      profit = profit + A;                %counts my total profits
  end
%Answer on New Screen
if x == 0                               %Loop to print answer an a clear screen      
    clc
    fprintf('\t\t\t\tSimulating Roulette\n\n');
    fprintf('With only 18 red and 18 black (no green), you won 93.90        percent\n of the time you went to the casino\n\n')
    fprintf('Your average winnings were %.2f per trip to the casino', (profit/y-315))   % profit/y-315 = profit per trip to the casino

else
    clc
    fprintf('\t\t\t\tSimulating Roulette\n\n');
    fprintf('With 18 red, 18 black, and 2 green slots, you won 91.74 percent\n of the time you went to the casino\n\n')
    fprintf('Your average winnings were %.2f per trip to the casino', (profit/y-315))   % profit/y-315 = profit per trip to the casino
end

MATLAB: Converting a coin flip bet int oa bet on a house race game

Here is a hint. This will let you see how you can use cumsum() and rand() to get the correct probability for each lane to win.

percentages = [0.16, 0.2, 0.28, 0.24, 0.12];
theSum = cumsum(percentages)
% Run 3000 races
numRaces = 3000;
horseHistogram = zeros(1, length(percentages)); % 5 bin histogram.
for race = 1 : numRaces
	randomNumber = rand(1);
	if randomNumber <= theSum(1)
		% Horse #1 won
		winningHorse = 1;
	elseif randomNumber <= theSum(2)
		% Horse #2 won
		winningHorse = 2;
	elseif randomNumber <= theSum(3)
		% Horse #3 won
		winningHorse = 3;
	elseif randomNumber <= theSum(4)
		% Horse #4 won
		winningHorse = 4;
	else
		% Horse #5 won
		winningHorse = 5;
	end
	horseHistogram(winningHorse) = horseHistogram(winningHorse) + 1;
end
for h = 1 : length(horseHistogram)
	fprintf('Horse %d won %0.3f %% of the time.\n', h, 100 * horseHistogram(h) / numRaces);
end

theSum =

0.16 0.36 0.64 0.88 1

Horse 1 won 15.400 % of the time.

Horse 2 won 21.333 % of the time.

Horse 3 won 28.133 % of the time.

Horse 4 won 23.267 % of the time.

Horse 5 won 11.867 % of the time.

Just the percentages you'd expect.

Adapt as needed. You'll need to convert the for loop to a while loop

while cashRemaining >= 10

Then adjust cashRemaining based on loss or winnings for that race.

Best Answer

Related Solutions

MATLAB: Roulette Algorithm Probability Loop

MATLAB: Converting a coin flip bet int oa bet on a house race game

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