  We look at the Florida Lottery records of winners of prizes worth $600 or
more. Some individuals claimed large numbers of prizes. Were they lucky, or up
to something? We distinguish the "plausibly lucky" from the "implausibly lucky"
by solving optimization problems that take into account the particular games
each gambler won, where plausibility is determined by finding the minimum
expenditure so that if every Florida resident spent that much, the chance that
any of them would win as often as the gambler did would still be less than one
in a million. Dealing with dependent bets relies on the BKR inequality; solving
the optimization problem numerically relies on the log-concavity of the
regularized Beta function. Subsequent investigation by law enforcement
confirmed that the gamblers we identified as "implausibly lucky" were indeed
behaving illegally.
