Over drinks we had this discussion, $584M would buy you every possible combinations. Guaranteed win and, the $930M payout would be a tasty 60% profit! Unless someone else had the same idea, then you would split the winnings and end up with a quick 20% loss! What is worse, if some random person managed to get the right combination you would still lose 20% of your money.
There is a great statistical process in here for some bayesian.