I am stuck in this thought for a while regarding the block generation rate. My concern is, when a payer waits for 10 minutes to confirm that her transaction is included in a block, it suggests that a new block is generated in 10 minutes, because her transaction is brand new and the block includes it. So, how does a miner do that in just 10 minutes? Isn't it supposed to be hard? The miner can then become a millionaire in months.
Does the block generation rate imply that, once a miner starts computing the proof-of-work(POW) she succeeds in getting the nonce after 10 minutes? Or is it the case that miners are computing POW at their own pace(probably for a long enough time) and 1 new block pops up every 10 minutes. If the 2nd scenario is true, how does it justify the waiting time?