I misread the first post initially and did some incorrect math but still demonstrates this is a relatively likely event.
The probability of one block taking 127 minutes or more (simplified):
2^-12.7 = ~ 1/6654 = average one in 46 days worth of blocks
It's not 2^-12.7, it's e^-12.7 = 1 / 327748.
This is an example for an event that will probably not happen in 4 years, but still has a reasonable chance.
My result above is a binomial simplification of mining:
The probability of a block being solved after 10 minutes: 50%, or 1/2
The probability of a block
not being solved after 10 minutes: 50%, (1/2), or 2 ^ -1
The probability of a block not being solved after 20 minutes: 25%, (1/2)*(1/2) = 1/4, or 2 ^ -2
The probability of a block not being solved after 30 minutes: 12.5%, or 1/8, or 2 ^ -3
....
The probability of a block not being solved after 127 minutes: 2 ^ -12.7, or ~0.015%