Question

Sandy used a virtual coin toss app to show the results of flipping a coin 80 times, 800 times, and 3,000 times. Explain what most likely happened in Sandy's experiment.

Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 80 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 800 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 3,000 flips

Answer 1

Sandy's experimental probability was closest to the theoretical probability in the experiment with 3,000 flips.

In probability, as the number of trials increases, the experimental probability is expected to converge to the theoretical probability. This is known as the Law of Large Numbers. Since the experiment with 3,000 flips had the most number of trials, it is most likely that the experimental probability was closest to the theoretical probability in this experiment. The larger the sample size, the more likely it is to reflect the true probability of the coin being a fair coin.