Dice Rolling simulation in MATLAB, using relative frequency approach

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Achyuth S.S
Achyuth S.S 2022-11-11
评论： Achyuth S.S 2022-11-12
Consider the dice rolling experiment. Use the relative frequency approach to assign the probability of the event, A = {sum of two dice = 5}. Simulate the tossing of two dice using the MATLAB code. The results of this dice tossing simulation must approximately follow the results shown in Table 1.

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Image Analyst
Image Analyst 2022-11-11
Ran in:
Hint:
n = 1000;
rolls = randi(6, n, 2)
rolls = 1000×2
6 2 1 5 5 3 2 1 2 4 5 1 6 4 6 3 5 3 1 3
sumOfRolls = sum(rolls, 2)
sumOfRolls = 1000×1
8 6 8 3 6 6 10 9 8 4
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Image Analyst
Image Analyst 2022-11-12
编辑：Image Analyst 2022-11-12
Ran in:
Looks like you figured it out since you Accepted the answer (thank you 🙂).
I guess you finally realized that it is the number of times the rolls sum to 5 in n tosses.
format short g
alln = 1000 : 1000 : 10000;
for k = 1 : length(alln)
n = alln(k);
rolls = randi(6, n, 2);
sumOfRolls = sum(rolls, 2);
% Count how many times the sums equal 5.
nA(k) = sum(sumOfRolls == 5);
% Compute fraction of 5's
fract(k) = nA(k) / n;
end
nA
nA = 1×10
99 229 337 442 527 657 780 865 1003 1114
fract
fract = 1×10
0.099 0.1145 0.11233 0.1105 0.1054 0.1095 0.11143 0.10812 0.11144 0.1114

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