Question

if probability is desired outcome/ total actual outcome then how does theoretical probability relate to experimental probability if there is fifty fifty chances of a coin flip landing on head, put inn own words

Answer 1

Think of theoretical probability as what you expect from the idea of a perfectly fair coin, and experimental probability as what you actually see when you flip the coin.

- Theoretical probability for a fair coin landing heads = 1/2 = 0.5 (because there are two equally likely outcomes and one is heads).
- Experimental probability = (number of heads you observed) / (total number of flips).

They relate like this: experimental probability should get closer to the theoretical probability the more times you flip the coin (this is the law of large numbers). With only a few flips you can be far off just by chance; with many flips the random ups and downs average out and your observed proportion tends toward 0.5 — unless the coin is actually biased.

Quick examples:
- 1 flip: you get 1 head → experimental = 1/1 = 1.0 (very different from 0.5).
- 10 flips: you get 7 heads → experimental = 7/10 = 0.7.
- 1000 flips: you get 510 heads → experimental = 510/1000 = 0.51 (much closer to 0.5).

So theoretical is the expected ideal value; experimental is the real-world measurement that should approach the theoretical value as you collect more data.