Odds of shooting 5,10,20,n points in a row

I am trying to figure out the odds of shooting 5 points in a row, or 10, 20, or n number of points.

How would this be figured out, what is the formula to figure this out.

For any points
(201/495)^5 would be 5 in a row

(201/495)^N would be N in a row

More can be found in this thread
average-number-of-points-hit

The more trials, the higher the probability of a streak of any length
added:
From 7Craps collection

At about 20 points established per hour, we see by the table about a 10% chance of at least 1 run of length 5 point wins
At about 60 points established, we see by the table about a 32% chance of at least 1 run of length 5
At about 100 points established, we see by the table about a 48% chance of at least 1 run of length 5
and about a 13% chance of at least 2 runs of length 5


for more info and links to threads to do the math yourself see:
Streak Calculator

for the average number of trials to see a streak of 5 wins in a row
150.8
On average, how many trials will it take to see a streak of...?

Enjoy