Hypothetically, if you invested $100,000 US in hashpower for lets's say two weeks straight, what are the chances of taking home a win? Has anyone ever attempted that? It's a crazy of money but I was wondering if that's almost a 1-in-4 chance of solving a block (depending on how much hashpower you can buy). The ROI is not bad if the odds (and luck) is good.
Time is irrelevant in your question, it does not matter if you spend the 100k in 2 minutes or 2 weeks, it is the number of shares or attempts.
So an easy way to answer your question is to look at the average daily profit per th, which now about 173 dollars, so your 100k can get you 578 ph for 24 hours straight ( ignoring all the other variables which i can tell you about in a different post).
That amount of hashrate needs on average 2 days + a few hours to hit a block, so your 24h chance is 1 in 2.xx.
**Need to be on my pc to give you exact figures, but these rough figures should be good enough to answer your question.
Another different way is to look at it is in fiat value, the current block value is about 250k, if you invest 250k in hashrate your chance is 1 in 1, if you invest 25k it is 1 in 10.
Of course this is all just theory and luck will be all that matters, but IMO it is very unwise to gamble with half a block worth just to hit a block, the risk to reward ratio is just terrible, you may hit 2 blocks and you may hit zero blocks.
The way most of us do this is risk almost nothing in hopes to win everything, it makes a lot of sense that way.