Explain what it means for an event to have a theoretical probability of 0.25 and an experimental probability of 0.3

Answer 1

If you have a fair coin, and flip it twice, there's a 0.25 theoretical probability of getting 2 heads. There's 4 outcomes: HH, TT, TH, and HT. 1 out of 4 is 0.25 chance of 2 heads.

But if you run the experiment and do actual flips, maybe 100 times, the average times you get 2 heads might be 0.3 if you got 2 heads 30 times out of a 100. It could be just random chance or maybe the coin is slightly heavier on the head side, causing slightly more heads than the theoretical probability.