we know that the larger the degree of freedom, the less likely extreme events will occur (e.g., if you throw fair coin once, odds of heads is 50%, if you throw twice, odds of two heads are 25% and so on). and if they indeed occurs, there becomes more reason to suspect there might be other factors at work as the sample size increases,
we can conduct a simple experiment to verify this by throwing a coin e.g., 10 times in a trial, we graph x-axis percentage of heads in each trial, y-axis frequency. the more trials you conduct, the more likely it will peak at the center where 0.5 is, and the total frequencies to its left will be very close to its right,
my question is, is there a rational way to calculate the distribution after any number of trials? e.g if i conduct the trail 70 times in the aforementioned experiment, what would the frequency be at each percentage of heads exactly?