[Cobra]

I am new to the probability area as well but am trying to study it. I am not sure when you can use multiplication and skip inclusion-exclusion.

Why couldn't you say the chance of no one having a dominating hand is

c(50,2)-24/c(50,2) and then raise this to the ninth power for eight other people.

This gives you the percentage no one dominates, subtract 1 and you have the percentage of hands that at least one person dominates.

This comes out to .16312 percent, I am confused at why there is a difference.

Thank you,

Cobra