MATLAB Simple help with matlab-dice game needed

[Thomas98]

I'm making a simple dice-game with MATLAB and I
want to extend the functions of it. What I have now is
that I throw 5 dices (each dice gives a value of 1 to
6), and I make MATLAB display the value of each dice,
e.g [1 3 5 2 1] and count how many of each value are
represented e.g in my case we have 2 ones, 1 twos, 1
threes, 0 fours, 1 fives, 0 sixes, that outputs the
vector [2 1 1 0 1 0]. The script-code used for the
above function is:

dices= ceil(6*rand(5,1));
disp(dices); % displaying dices
count = hist(dices, [1,2,3,4,5,6]); % calculating
counts
disp(count); % displaying counts

OK, here are some functions I want add to the program:
#1) I want display through one digit the value that is
most represented. e.g from the dice-throw [4 5 4 4 1]
the output should be 4.
#2) According to the game strategy you should save the
identical dices and throw the rest over again.OK,
that means that I need code that outputs, in my case
above, the vector [2 5], i.e dice number 2 and 5. If
we have a more complex situation [4 4 2 2 5], then we
an output: [1 2 5] or [3 4 5]; or according to an
other fashion: [* * 2 2 *] or [4 4 * * *].

#3) OK, I want to repeat this procedure until all
dices are of the same value, e.g all 4:s. And I want
as a final output the number of throws that were
needed to get five dices of the same value.

/Thomas

 

[CRGreathouse]

0. "Die" is the singular of "dice". One die, two dice.

1.

dice = ceil(6*rand(5,1));
disp(dice); % displaying dice
count = hist(dice, [1,2,3,4,5,6]); % calculating counts
disp(count); % displaying counts
disp(mode(dice)); % "most represented"

2. Use the mode (above) and filter out all numbers not equal to it.

3. Put it all in a loop with a variable counter, which you can output at the end.

 

[Thomas98]

Hi, I ran the code you gave me but it seems like the mode-function is abscent with my version, I ran 'help mode' in the prompt but it replies 'mode.m not found' . I have tried both Matlab version 6 and 7. Maybe I need to download extention packs for MATLAB or so?

 

[Thomas98]

Hi again, I solved the problem with the mode-function. Regarding the loop part, how is the while-statement suppose to look? I have a counter k=1 and I have a condition dice~=mode(dice) but how are these supposed to fit together , I wrote:
while dice.*(dice~=mode(dice))~=[0,0,0,0,0]
??
end
Can you give a couple of pointers?

 

[CRGreathouse]

First of all, I don't have a copy of Matlab handy, so I'm not able to test my own code. Mode does show up in the documentation, though, so I don't know what the problem was.

For the loop in #3, you need to go through each element of the list and check if it is equal to the mode. If not, you need to remove the element from the list.

 

[Thomas98]

Hi, thanks for the tip, this is what I ended up with:

dice = ceil(6*rand(5,1));
disp(dice);
count = hist(dice, [1,2,3,4,5,6]);
disp(count);
disp(mode(dice));
A=(dice.*(dice~=mode(dice)));
disp(A);
k=1;
while any(dice.*(dice~=mode(dice)))~=0
dice(find(A))=ceil(6*rand(size(find(A))));
k=k+1;
end
disp(k);

Ok, I want to extend this with a monte carlo-type simulation #1) First I want a function with an input of the amount of series of five identical dice,e.g '3' would represent how many throws are needed to get 3 series of five identical dice. #2) The second input I need is the amount of experiments of the above. And I want to plot the result in a histogram. E.g Number of series: 3 , Number of experiments: 4 , which outputs a vector e.g [93 78 345 234], each element representing each experiment.

 

[Thomas98]

Maybe something like this , I ran it but it clogged up the memory:

function result = monte(p,q) % p is number of series, q is number of experiments

for i=1:q
while i<p
dice = ceil(6*rand(5,1));
A=(dice.*(dice~=mode(dice)));
k=1;
while any(dice.*(dice~=mode(dice)))~=0
dice(find(A))=ceil(6*rand(size(find(A))));
k=k+1; %Calculate number of re-throws
end
end
end