Answer:
Theoretical probability is a mathematical concept that represents the likelihood of an event occurring based on mathematical reasoning or calculation. It is calculated by dividing the number of favorable outcomes by the total number of possible outcomes in a given situation. For example, the theoretical probability of flipping a coin and getting heads is 1/2, because there is one favorable outcome (heads) out of two possible outcomes (heads or tails).
Experimental probability, on the other hand, is based on actual observations or experiments. It is calculated by conducting an experiment and counting the number of times an event occurs, then dividing that by the total number of trials. For example, if you flip a coin 100 times and get heads 55 times, the experimental probability of getting heads is 55/100 or 0.55.
The main difference between theoretical and experimental probability is that theoretical probability is based on mathematical calculations and reasoning, while experimental probability is based on actual observations and experiments. Theoretical probability is used to predict the likelihood of an event occurring, while experimental probability is used to estimate the likelihood of an event occurring based on observed data.