Who has the higher chance to get the jackpot, (i) the one who spins on one slot-fruit machine, (ii) the other who spins on thousands of slot-fruit machines? Is there a summation or a multiplication of probabilities?
I mean one trial per some amount of time ("1 hash per second") versus a thousand of trials per the same time ("1000 hashes per second"). Assuming the chance to get the jackpot is one millionth, would it for two trials be two millionths (summation) or not? Would be million of trials enough to take guaranteed jackpot? And does it matter when there're 7 days between jackpots (when the "hash" of jackpot combination changes) and when it's changing in much shorter period, say 3 minutes. All trials are independent, for sure
Can you recommend some nice book about this theory?