Question

2. Let us construct a 36-card deck by removing all the hearts and kings out of a standard 52-card deck. That is, we have 12 face cards (1 through 10 plus jack and queen) for each of the three remaining suits, ^, ◇, and鸁Next, deal out a total of five cards. Since players sort their hands. order doesn't m atter. (a) (9 pts) What is the probability Pth of being dealt full house (3-of-a-kind +pair)? FH (b) (10 pts) Write a MATLAB program that simulates 1 trial of this experiment and sets variable as 1 if there is a full house and 0 if there is not a full house.

Answer 1

Hey,

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1)

Probability will be = C(12,1)*C(11,1)*C(3,2)/C(36,5)=0.001050420168067

2)

clc
clear all
close all
FH=0;
a=randi(12,1,5);
a=sort(a);
if((a(1)==a(2)&&a(3)==a(4)&&a(4)==a(5))||(a(1)==a(2)&&a(2)==a(3)&&a(4)==a(5)))
FH=1;
else
FH=0;
end
disp(['FH is ' num2str(FH)]);

clear all close all FH=0 ; a-randi (12,1,5) a=sort (a) ; íf ( (a (1)-a (2) &&a (3)-a (4) &&a (4)-a (5) ) I 1 (a (1)-a (2) &&a (2)-a (3) &&a (4)-a (5) ) ) FH-L: else 10 FH-0: end disp (['FH is num2str (FH) ]) Command Window New to MATLAB? Watch this Video, see Examples, or read Getting Started FH is o

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