Design and interpret a probability simulation

A target experiment selects one item from a finite population. The category counts are amber: 4, blue: 2, with total 6

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

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

The simulation used the following procedure

Use a random-number generator that returns one of the integers 1 to 24 with equal probability

Map outcomes 1 to 16 to amber and outcomes 17 to 24 to blue

Reset the device before the next trial

Treat one complete selection as one trial

Run 1 recorded amber: 12, blue: 3, giving 15 trials in total