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?