If you repeatedly choose a rubber band from the box, record the color, and put the rubber band back in the box
, 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.
To repeatedly choose a rubber band from the box, record the color, and put the rubber band back in the box, follow these steps:
1. Start by grabbing the box of rubber bands.
2. Open the box to access the rubber bands inside.
3. Take one rubber band out of the box.
4. Observe the color of the rubber band.
5. Record the color of the rubber band in a notebook, notepad, or any other suitable recording device.
6. Put the rubber band back into the box.
7. Close the box to ensure all rubber bands are contained within.
8. Repeat steps 3-7 as many times as desired or until all rubber bands have been selected.
By following these steps, you can repeatedly choose a rubber band from the box, record its color, and put it back in the box.