Last night I wondered what the odds of banking nine in arrow would be.
Here are some attempts to quantify the odds.
For the first run, I assume that the nine shots range evenly from a 90% make to a 10% make. Multiplying that out (.1*.2*.3*.4*.5*.6*.7*.8*.9) I get a .000362880 chance of running nine banks, or once every 2756 attempts.
That seems a little too tough, so I tweaked the difficulty of the shots.
If I assume a more realistic difficulty range, like .5*.5*.5*.7*.4*.9*.7*.2*.6, I get .002646 or a 1 in 377 chance.
This time it seems too easy, but you get the idea.