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Any given unlikely event does not happen very often. But if you have a whole bunch of possible unlikely events, then one of them (a different one each time, us
by bzbarsky 7y ago
Any given unlikely event does not happen very often.
But if you have a whole bunch of possible unlikely events, then one of them (a different one each time, usually) can happen fairly often.
Back to the lightning example, any given person being hit by lightning is an unlikely event. But as you not "someone being hit by lightning" is not, because we are now observing these unlikely events across so many people.
All of which is to say, observing that an unlikely event happened doesn't provide much information on its own, if you have observed a lot of things happening in general...
- dTal 7y agoBeautifully put - I nominate this as the official summary of the subthread. It's the reason why we need to pad time estimates for projects and leave early to catch trains, even when we can't think of any likely reason for delay - the sum of all unlikely reasons can cross the threshold into "likely". So it's quite correct to say "unlikely events happen all the time".