To solve the problem of continuing the sequence of tiles, we need to observe the pattern or rule followed by the given sequence.

The sequence shows dice faces with increasing numbers of dots. Let's break down the pattern:

1. The first tile has \(0\) dots.
2. The second tile has \(1\) dot.
3. The third tile has \(2\) dots.
4. The fourth tile has \(3\) dots.
5. The fifth tile has \(4\) dots.
6. The sixth tile has \(5\) dots.

This is a straightforward arithmetic progression where the number of dots increases by \(1\) with each subsequent tile.

Thus, the pattern suggests that the tile following this should have \(6\) dots.

The correct option should therefore display a dice face with \(6\) dots.

The correct choice is:

Hence, option showing the dice face with six dots is the correct answer.