Question

If you repeatedly choose a rubber band from the box, record the color, and put the rubber band back in the box
Bot
, the probability of choosing a specific color remains the same each time. For example, if there are 10 rubber bands in the box and 4 of them are blue, the probability of choosing a blue rubber band on the first pick is 4/10. If you put the blue rubber band back in the box and choose again, the probability of choosing a blue rubber band on the second pick is still 4/10. The law of large numbers states that as the number of trials increases, the observed probability will approach the true probability. So, if you keep choosing rubber bands from the box and recording the colors, the proportion of colors will converge to their true probabilities.