Probability of starting hands

[JustBeginning]

I know it's 16/1 on you getting a PP, so is it therefore 16/9 on there being a PP in any given hand if there are 9 people at the table?

I'm not really that interested in the actual odds of there being 2 or 3 PP's at a table to be honest. I just want to know how to go about working it out. If it's too much hassle it's fine.

Thanks.