Dice Rolling simulation in MATLAB, using relative frequency approach

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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.

Accepted Answer

Image Analyst
Image Analyst on 11 Nov 2022
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
  3 Comments
Image Analyst
Image Analyst on 12 Nov 2022
Edited: Image Analyst on 12 Nov 2022
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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