math - Write a truly inclusive random method for javascript

Question

Javascript's MATH object has a random method that returns from the set [0,1) 0 inclusive, 1 exclusive. Is there a way to return a truly random method that includes 1.

e.g.

var rand = MATH.random()*2;

if(rand > 1)
{
   rand = MATH.floor(rand);
}

return rand; 

While this always returns a number from the set [0,1] it is not truly random.

Answer 1

This will return [0,1] inclusive:

if(MATH.random() == 0)
    return 1;
else
    return MATH.random();

Explanation: If the first call to random() returns 0, return 1. Otherwise, call random again, which will be [0,1). Therefore, it will return [0,1] all inclusive.