According to the Law of Large Numbers, what is the relationship between experimental and theoretical probability, or is there one at all? If you repeat an experiment many many times, you would expect: Select one or more: a. experimental probability to get further away form the theoretical probability. b. there to be no distinct pattern in the relationship between the experimental probability and theoretical probability. c. the experimental probability to never change. d. experimental probability to get closer and closer to the theoretical probability. Check

The Law of Large Numbers states that as the number of trials in an experiment increases, the experimental probability (the actual results of your experiment) will get closer to the theoretical probability (the expected result based on probability theory). So, choice ‘d’—experimental probability to get closer and closer to the theoretical probability—is the correct answer! In practical terms, think of flipping a coin. If you only flip it a few times, you might get heads far more often than tails, leading to a skewed experimental probability. However, if you flip that coin thousands of times, the number of heads and tails will even out, aligning closely with the theoretical probability of 50% heads and 50% tails. This interesting pattern illustrates the beauty and reliability of probability in the long run!