powerball - 300 mil

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what is it? 6 numbers? 10 choices for each (0-9) so thats 10^6 = 1,000,000. 1 mil and you are guaranteed to win it all. not a bad investment, but the problem comes in when you need 1 mil, and trying to get someone to print out a million tickets lol
 
6 numbers, any number 1-50 can be in it.
so its 6^50 + 6^49 + . . . . + 6^43


anyhoo, i didn't win shit. best ticket was 2 numbers, which is nothin
 
that woud be 50^6 = 15,625,000,000. lol so not such a good investment to try and do every combo of numbers
 
naw, its not 50^6. because once a number is drawn, there's only 49 left.

wouldn't it be:
50^6 + 49^5 + 48^4 , , ,
 
oh in that case it would be 50*49*48*47*46*45 = 1,144,1304,000 a litlle better lol
 
actually , it's 5 white number 1-55, and a separate red power ball 1-42. Also the numbers can be in any order so it's a combination not a permutation. using the equation nCr = n!/(r! * (n-r)!)

just for the 5 white number is 55C5 = 3478761
for the power ball number 42C1 = 42

3,478,761 * 42 = 146,107,962

which means there is a 1/146,107,962 chance to win the powerball jackpot, which means to be certain you need about $147 mil to buy all combinations
 
oh in that case it would be 50*49*48*47*46*45 = 1,144,1304,000 a litlle better lol

When you compute probability without replacement, you have to subtract from the total number of expected outcomes.

probability = expected outcome / total number of possible outcomes
 
Well apparently someone in Indiana hit the 300 million jackpot last night. I never made it to the store to get a few tickets.
 
I was hoping someone was going to say, "someone who bought tickets in Easton, Pa..."
 
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