Astner
The Ghost Who Walks
Originally posted by Symmetric Chaos
50 to the power of 8? (I assume the negative is left over from doing all that physics notation) How do you figure?
x^-y = 1/x^y
Originally posted by Symmetric Chaos
I'm aware that 50! is a bit naive since they usually don't require you to match all the numbers but how did you chose 50^8 in particular?
I don't play the lottery, and so I assumed that the same number between 01 and 50 can be generated more than once, i.e. 29,
49, 49,, 35,
49 ...
In which case the first number is randomly selected from 50 different numbers, and so is the second, the third, etc.
In which case you do have 1/(50^8), or 1 in 36 trillion.
Now if the same numbers can't be chosen more than once, then the first number is randomly selected out of 50, the second out of the remaining 49, etc.
In which case you'll have: 1/(50*49*...*43) or more generally: (50-8)!/50!, in which your 1 in 22 trillion.
If you want to remove the order as well, i.e. as long as you select number 50 it doesn't matter where it pops up as long as it pops up then you'll have 8!(50-8)!/50!, or 1 in 537 million which — while a lot fairer — is still a rip-off.