eli5 If an unbiased coin has a 50% chance of getting heads and 50% of getting tails. If you roll 10 times why is it unlikely for you to get 5 heads and 5 tails. From a probability standpoint, shouldn’t you guarantee that?

Question

eli5 If an unbiased coin has a 50% chance of getting heads and 50% of getting tails. If you roll 10 times why is it unlikely for you to get 5 heads and 5 tails. From a probability standpoint, shouldn’t you guarantee that?

In: Mathematics

Answer 1

It’s not guaranteed. Each coin toss is independent.

What you end up with is a binomial distribution: [https://mathbitsnotebook.com/Geometry/Probability/BD3x.jpg](https://mathbitsnotebook.com/Geometry/Probability/BD3x.jpg)