Surveying the Town

Alice is conducting a survey in a town with population size 1000. She selects a simple random sample of size 100 where sampling is without replacement and all samples of size 100 are equally likely. Bob is also conducting a survey in this town Bob selects a simple random sample of size 20 independently of Alice’s sample. Let $A$ be the set of people in Alice’s sample and let $B$ be the set of people in Bob’s sample. Find the expected number of people in $A \cap B$. Simplify your answer.