2026-04-07

Problem — 2026-04-07

Easy

Easyprobability

Six people sit randomly around a circular table. What is the probability that two specific people (Alice and Bob) are NOT seated next to each other?

Express as a fraction

Show solution

Fix Alice's seat. The remaining

5

people are equally likely to sit in any of the

5

remaining seats. Bob can sit in any of

5

seats,

2

of which are adjacent to Alice. So

P(\text{adjacent}) = \frac{2}{5}

and

P(\text{not adjacent}) = 1 - \frac{2}{5} = \frac{3}{5}