How to generate uniformly distributed random integers?

I've been using "ceil(4*rand)" to generate random integers from 1 to 4. But when I tried to check the uniformity, I found that I do not get a probability of 0.25 and instead have p(1)=0.24997, p(2)=0.25102, p(3)=0.24949 and p(4)=0.24951 after generating 10,00,000 values. Is it good enough to say that it's uniform?

Answer 1

[the cyclist]

Yes. You should not expect to get exactly 25% of each, every time. That is expected behavior of random numbers.

FYI, it may be more convenient for you to use the randi() function to do what you are doing.

[Walter Roberson]

the cyclist is correct. Please see also the description in http://www.mathworks.com/matlabcentral/answers/12307-how-to-generate-a-uniform-random-variable-in-the-interval-1-1-with-mean-zero

Answer 2

[Pannir Selvam Elamvazhuthi]

Thanks Cyclist and Walter Roberson. Sorry to have responded late.

[the cyclist]

No problem on the late response. However, you should consider deleting this "answer" (because it is not answer), and making it a comment on my answer.

Answer 3

[Sergio Enrique Pinto Castillo]

I think the answer is:

Num = 1000;

vec = randi([1 Num],1,Num);

This instruction generate a vector with random uniformly distributed integers between 1 and 1000