The Jones Family

Mr. Jones, Mrs. Jones, Jonny Jones and Betty Jones are all sitting at their square table eating dinner. Assuming that each chair is situated in the centre of each side, and the seating is completely random, what is the chance that Mr. and Mrs. Jones are sitting opposite each other?

1/2 1/4 1/3

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2 solutions

Hillel Ringelblum
Nov 21, 2019

In any position that Mr Jones is in, regardless of where, there are three empty seats, and three people. Therefore, there is a 1/3 chance of any other family member in sitting opposite to Mr Jones, including Mrs Jones. As a result, the answer is 1/3.

Max Patrick
Nov 21, 2019

Rotate the whole set-up so Mr Jones is in the North. Now there is 1 chance in 3 that Mrs Jones is in South.

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