Dark Room Permutation
Probability
Level
2
There's a dark room with 2 tables. Each table can seat 2 people.
Two couples came in and sat randomly.
What is the probability that no one is sitting with their spouse?
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1 solution
Once the first person sits, there are 3 possibilities as to who sits with that person. Only 1/3 of the time will it be the person's spouse, so there is a 2/3 chance that no one is sitting with their spouse.