# 10.9. Vector of random numbers¶

The first step is to generate a large number of random values and store them in a vector. By “large number,” of course, I mean 20. It’s always a good idea to start with a manageable number, to help with debugging, and then increase it later.

The following function takes a single argument, the size of the vector. It allocates a new vector of `int`s, and fills it with random values between 0 and `upperBound-1`.

```vector<int> randomVector (int n, int upperBound) {
vector<int> vec (n);
for (size_t i = 0; i < vec.size(); i++) {
vec[i] = random () % upperBound;
}
return vec;
}
```

The return type is `vector<int>`, which means that this function returns a vector of integers. To test this function, it is convenient to have a function that outputs the contents of a vector.

```void printVector (const vector<int>& vec) {
for (size_t i = 0; i < vec.size(); i++) {
cout << vec[i] << " ";
}
}
```

Notice that it is legal to pass `vector`s by reference. In fact it is quite common, since it makes it unnecessary to copy the vector. Since `printVector` does not modify the vector, we declare the parameter `const`.

The following code generates a vector and outputs it:

```int numValues = 20;
int upperBound = 10;
vector<int> vector = randomVector (numValues, upperBound);
printVector (vector);
```

On my machine the output is

```3 6 7 5 3 5 6 2 9 1 2 7 0 9 3 6 0 6 2 6
```

which is pretty random-looking. Your results might be different.

Try running the active code below!

If these numbers are really random, we expect each digit to appear the same number of times—twice each. In fact, the number 6 appears five times, and the numbers 4 and 8 never appear at all.

Do these results mean the values are not really uniform? It’s hard to tell. With so few values, the chances are slim that we would get exactly what we expect. But as the number of values increases, the outcome should be more predictable.

To test this theory, we’ll write some programs that count the number of times each value appears, and then see what happens when we increase `numValues`.