I have a population of 10,000 and I'm trying to understand the viability of a sample that a supplier is trying to sell me.

The sample consists of 100 people.

We contact 33% of the 10,000 population and I'm trying to understand what is the probability of contacting 10, 25, 75 and all 100 people in the sample.

I think it's a Poisson problem but can't get my head round it.

Please can any expert help

Thank you