A town council includes 10 Democrats and 15 Republicans. In response to a developers request for a

Question:

A town council includes 10 Democrats and 15 Republicans. In response to a developer’s request for a variance that would allow her to build a convenience store in an area of town currently zoned as residential, the mayor is going to randomly select 5 council members for a committee to examine the issue. What is the probability that there will be at least 3 Republicans on the committee?