An elevator with two passengers stops at the second, third, and fourth floors. If it is equally likely that a passenger gets off at any of the three floors, what is the probability that the passengers get off at different floors?

Thanks.

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- Mar 20th 2009, 03:41 AMjojo_jojoprobability
An elevator with two passengers stops at the second, third, and fourth floors. If it is equally likely that a passenger gets off at any of the three floors, what is the probability that the passengers get off at different floors?

Thanks. - Mar 20th 2009, 03:48 AMmr fantastic
- Mar 20th 2009, 03:55 AMjojo_jojo
Pr(passengers get off at different floors) = 1 - Pr(passengers get off at the same floor)

So, Pr(passengers get off at the same floor) = 2/6

Therefore, 1 -2/6 = 4/6 = 2/3