Design and interpret a probability simulation

A target experiment selects one item from a finite population. The category counts are circle: 2, square: 10, triangle: 3, with total 15

The selected item is returned before the next trial. Let \(E\) be the event that the outcome is square

The target probability is \(\Pr(E)\) = \(\frac{2}{3}\)

The simulation used the following procedure

Use a spinner divided into 30 equal sectors

Map outcomes 1 to 4 to circle, outcomes 5 to 24 to square and outcomes 25 to 30 to triangle

Reset the device before the next trial

Treat one complete selection as one trial

Run 1 recorded circle: 1, square: 15, triangle: 3, giving 19 trials in total