Comment by gattr
4 years ago
I remember this one from a youth mathematics book. 10⁻⁴ chance of one bomb, and 10⁻⁸ of two (assuming the other one is an independent event — which it would be, as you're certainly not in collusion with any actual bomber).
Conditional probability doesn’t work like that.
If you always have a bomb with you, then the probability of you sitting on a plane with a bomb is 1, and thus the probability of you sitting on a plane with another bomb is again 10^-4.
Yes, the post you’re replying to was recounting a joke :)
Indeed. Hmm, but what if I roll a D20 before each flight and take a bomb only if I get a "1"? Do I decrease the average two-bombs probability to 5·10⁻⁶?
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Potentially catastrophic false assumption made at the end there.