# Math Help - Coin problem

1. ## Coin problem

I flip a symmetrical coin n times and I'm interested to know the expectation value of event A (the most probable number of times event happens), which is defined as fliping head m times in a row (m<=n). It is important to know that, for example m=10, fliping 20heads in a row represents two A events, not 11 events, also 19heads in a row represents only 1 event.

2. the expectation value of event A (the most probable number of times event happens)
These are not the same in general (mean and mode respectively). Which did you want?

3. Originally Posted by rgep
These are not the same in general (mean and mode respectively).Which did you want?
You are right. I want expectation value.