Suppose I have a random event with a binary outcome (win/lose) and I have a set of data showing how many times win streaks of various lengths occurred:

Code:

```
[FONT=Courier New][SIZE=2]#Wins 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
Tally 59 36 30 18 12 4 7 4 5 6 2 0 3 1 2
Exp 53.5 38.3 27.5 19.7 14.1 10.1 7.3 5.2 3.7 2.7 1.9 1.4 1.0 0.7[/SIZE][/FONT][SIZE=2] 0.5
[/SIZE]
```

I would like to calculate a 4th line showing the probability of each tally given the total number of games played and the win%. For example, what are the odds that there would be 59 0-win streaks, 36 1-win streaks, 30 2-win streaks, etc.?

Can someone help me with the correct formula? I think it has something to do with normal distributions and the distance from the mean, but my statistics skills are not up to the task.

Thanks...