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 Yeah but there is a new bitcoin lottery occurring roughly every ten minutes.  Powerball is once a week. That’s 1008 : 1 
 It's way more than 4 figures to 1 unless your way of buying lotto tickets is to bribe an inside man at the gas station to keep giving you one every week

Lifetime of the bitaxe vs lifetime of the lotto ticket 
 If you forgo purchasing a BitAxe, and instead use that $100 to $200 capex expenditure to buy Bitcoin, you can then spend $2 every other week as opex on a powerball lottery ticket. You still have a chance to make big mullah, but you've also guaranteed future value by setting aside sats today

The odds favor that approach even more as overall network hash goes up along with utility bills.

Extra benefit to the lottery ticket is that it doesnt make noise at all, can be burned, crumpled and thrown at someone to get their attention. 
 *throws a bitaxe at you*