Sounds like fun, this will get me going in the morning when I get to work. Just to clarify in the meantime, I understand that to mean that every number drawn will be on your card, it's just whether they form a straight line in the first 10 draws, correct?
See, now this is why work sucks and my employers are completely unreasonable. I come into the office and want to do dick all for the first little while and do this problem, but nooo, I have to prepare some worksheets for my boss first. Bullshit.
This is what I came up with:
We first figure out the total number of rows/columns/diagonals, in other words the combos that form a “winning” combination. There are 4 which require only 4 good numbers(plus the freebie in the middle), and 8 which require 5 straight numbers.
Then you multiply all those possibilities by the odds that ONE combination would hit.
Basically it would look like this:
4 draws = 4/(24C4)
5 draws = 4(20)/(24C4) + 8/(24C5)
6 draws = 4(20(19)/(24C4) + 8(19)/(24C5)
7 draws = 4(20)(19)(18)/(24C4) + 8(19)(18)/(24C5)
Etc…
Does that work or am I just an idiot?
I think a better question is what the hell were you doing playing Dragon Quest VIII lol? Those games ain’t gonna cap themselves Justin. Unless…