Traditional Culture Encyclopedia - Hotel franchise - A, what is the probability that two people have stayed in three hotels and just two people have stayed in the same hotel?

A, what is the probability that two people have stayed in three hotels and just two people have stayed in the same hotel?

The three hotels are: 1, No.2 and No.3.

A The probability of staying in any of the three hotels is 1/3.

Similarly, the probability of B staying in any of the three hotels is 1/3.

Then the probability of Party A and Party B staying at the hotel 1 is (1/3) * (1/3) =1/9.

Then the probability of Party A and Party B staying in Hotel II is (1/3) * (1/3) =1/9.

Then the probability of Party A and Party B staying in Hotel III is (1/3) * (1/3) =1/9.

Then the probability of two people staying in the same hotel is the sum of the three: 1/3.

Simply put, you can think like this:

The first, second and third hotels must have a hotel.

Then there is a 1/3 chance that A will live with A.