Also the type of guy who can't do math...
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I would say that I would split it about 50/50. Worth the risk but I wouldn't like to set my self straight such as finishing paying off the house and student loans, ect.
I think it would be even more feasible (if you honestly believe bitcoin is going to succeed in 5-10 years time) to invest 75% of your funds into bitcoin while using the other 25% to pay off stuff like bills and that sort of thing. I mean if you think about it, that's $250,000... For me that's a middle class income for 3 & 1/2 years or something like that. You can do a lot with that kind of money if you spend it properly.
Now the tricky part is deciding when to buy with the 750K you set off to the side, which you have multiple options of either buying it all at once (which that in itself is tricky because of different laws put in place), or try and decide a time to buy each week in increments. I would think buying a noticeable dip every week with something around $2-5K per week will be optimal in not going all in on one set price and have the potential to lose out big.
As for the $250,000 I think the problem I would run into is that would pay off a whole house, maybe throw in a car and some savings for retirement. Doesn't leave me much play money. Even though in a market like bitcoin you could quickly make the 33% on the 750 to make it up quickly, it just wouldn't be worth the risk... to me. I would think that 250k gets you to a comfortable position where 500k can make life easy.
plus as you mentioned the difficulty of buying that much at once, you would have to buy incrementally.