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 Reminder.. If your BitAxe is doing about 1TH/second hashrate, thats roughly 1 in 1 Billionth of the network hashrate.

Odds of winning ...
- Powerball Jackpot: 1 in 292 million
- Megamillions Jackpot: 1 in 302 million

nostr:nevent1qqstuahkydmc6ww6kvck996xkzdj4g8nqe47ja2l56ssshldkqv0nkcpz4mhxue69uhhyetvv9ujuerpd46hxtnfduhsyg8esnhpkzfjfq5e0hfclxcmz9c09z7mytatnm20r893x2kwfg3jrypsgqqqqqqs8sl6um 
 1 in 1 billion odds, but every 10 minutes 
 More math...

Assuming a Bitaxe uses 20 watts, thats about 3⅓ watts of power per block, or about 480 watts per day. Both powerball and megamillions appear to cost 2 USD tokens per play. If someones power costs are 15 cents/kWh, then 2 USD tokens would buy about 2 weeks of running a BitAxe.

So we can compare the winnings of a BitAxe over time with powerball tickets.

If one buys a powerball ticket every two weeks, with the odds of winning any prize at ~1 in 25, the overall typical loss through the year would be about $45 to $48 (based on a single win from 26 tickets purchased and that win resulting in low value $4 or $7 prizes)

On the other hand, a BitAxe will very likely lose $52 per year (its power cost is roughly 1 USD per week) unless its participating in a pool to get gradual payouts over time based on shares.

Assuming pool participation, and zero growth of the network, and ignoring pool fees, it would receive about 1/1,000,000,000 subsidy and tx fees per day. At 3.125 BTC per block the subsidy portion would be 3.125 * 144 * 100000000 sats per day. Thats 45 billion sats spread across the whole mining network. Knowing a BitAxe is currently 1/1000000000 of this gives us an expected earnings of 45 sats per day. Converted to fiat at a $100000 exchange rate for simplicity, this results in a loss of about 69 cents per week, or about $36/year

 
 Cue the obligatory "so you're saying there's a chance" 😂 
 Yeah buy you get to buy a ticket every ~10mins 
 So we should sell our bitaxe and buy lottery tickets? 
 No. If I had a BitAxe, the most winning play would be to sell the BitAxe and hodl the sats 
 buying lotto tickets not only gives you small chance to win max taxed money, but you are also donating money to your local oligarch, keeping their network of agents and vassals strong. many good reasons to buy lotto tickets over solo mining.

😅 
 I love that everyone immediately went to "...but every 10 min".  i know i did.  Then i wondered how hard it would be for the lotto to make a 10 min draw product.....   then i realized that every corner store would need a lounge like Caesars palace to host that degeneracy  
 Public Pool tells me that with one bitaxe gamma at 1.07TH, I can expect to find a block in 13,000 years.

The best time to plant a tree is right now I guess. 
 The better thing to find out is how many people need to run bitaxes for the solo miners to have a significant chance, like 5%, to mine a block every ten minutes. How many bitaxes for every 1 in a 1000, 500, 100, 50, etc. blocks to be solo mined? 
 To be 5% of the network youd need 50 million bitaxes.
 
 Me and my homies are covering .0000006% of the network. 
 I did some quick rough math, and came up with the following. For a bitaxe to find a block once in each interval, you'd need somewhere around the listed number of bitaxes on the network with the current hashrate. 

1 block per day - 5 million Bitaxes
7 days -  700 thousand
30 days - 160 thousand 
1 year - 15 thousand

How many bitaxes are out there now? Maybe a few hundred to a thousand or so? And we're only adding more. 
 If you ain’t solo mining you ain’t living 
 This also means you have a 1 in 13,000 chance in return for waiting a year and your chance gets higher every additional year you wait

Much better than lottery ticket 
 Probability is crazy. It was also never my strong suit. 
 Me either, I'm gonna dry my brain into a raisin trying to be a "good at math" npub to make up for digit and her math skills being missing 
 I like those odds!!! 
 You forgot the rest of the math

How many times does a lottery ticket repeat your chance to win in its lifetime? 
 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* 
 https://i.nostr.build/czzfSH5Yv4h8sTLz.png 
 We getting Arab Money 💰