Continuous vs Discrete

Let continuous clock be a clock, where both hands, smoothly and continuously rotate over time.

Let discrete clock be a clock, where both hands shift for each minute. From the start, both hands are at the same position, pointing at 12. Then, the minute hand rotates $6^{\circ}$ clockwise for each minute.

Which clock has the highest chance of both hands making an acute angle $\angle A$ at some positions?

Note: The target angle is the shortest of the two formed angles, so that the measurement range is between $0^{\circ}$ and $180^{\circ}$ .