The Question:
Assume the coin is perfectly fair, and that it cannot land on its side. Now let's imagine I throw the coin T times, it lands on the same side, X times in a row in T throws, what is the probability (P) this happens N times?
The question with numbers
Let's say I throw a coin 200 (T) times, what is the probability (P) it lands exactly 7 (X) times in a row on the same face, twice (N)?
To Note
- The coin has to land exactly X times in a row, if it lands less or more it does not count. This means if I do 7 heads in a row at the start, the flip after must be tails, if I do it in the middle the flip before and after must be tails and if I do it at the end the flip before has to be tails.
- If I land seven heads in a row and seven tails in a row then N is 2.
- I found this question out myself, I have no idea how hard it is or if someone has already done it, I study math in high school but I have not been able to find a solution to my own question. If you find a solution can you show the steps as well as the reasoning behind it.
- Sorry if it is difficult to understand or there are mistakes in my English but it is not my first language.