Objective-C: Modulo bias

u_int32_t maxValue = ~((u_int32_t) 0);      // equal to 0xffff...
maxValue -= maxValue % x;                   // make maxValue a multiple of x
while((value = arc4random()) >= maxValue) { // loop until we get 0 ≤ value < maxValue
}
value %= x;

although unless you are using any x under a million (or more) I wouldn't worry about it

arc4random returns a 32-bit unsigned integer (0 to 2³²-1).

There will probably be no noticable modulo bias for small enough x. However, if you want to be really sure, do this:

y = 2^p where 2^p-1 < x ≤ 2^p

val = arc4random() % y;
while(val >= x)
    val = arc4random() % y;

Use arc4random_uniform(x). This does it for you.

According to the man page:

arc4random_uniform() will return a uniformly distributed random number less than upper_bound. arc4random_uniform() is recommended over constructions like arc4random() % upper_bound as it avoids "modulo bias" when the upper bound is not a power of two.