Now it is quite possible that one of us does not understand the other.

I might tell you that I taught

*probability theory* for over thirty years.

I carefully explained in my first reply how I understood the question.

Did you read it carefully? It does not seem that you did!

If your team wins only 41 wins out of 82 games then there are only two ways that can be done with no consecutive losses.

That probability is

.

If your team wins exactly 75 wins out of 82 games then there are

ways that can be done with no consecutive losses.

That probability is

.