Problem #7
A kindergarten class consists of 10 pairs of siblings. On Valentine's Day,
the teacher randomly forms 10 pairs of students for a candy exchange
(regardless of gender or familial relationship).
- What is the probability that no siblings are paired with one
another?
- What is the expected number of pairs that consist of siblings?
- If there are n pairs of siblings, what happens to your answers
to the first two questions as n grows larger and larger?