Suppose 40% of the people in the US are Republican, 40% are Democrats, and 20% are Independent.
10 People are selected at random from this group to form a task force. What is the probability that none of the people on the task force is an Independent?
Without actually doing the calculation, describe how you would have to change your calculation if the task force was selected from a town with the same percentage of Republicans, Democrats, and Independents, but had a population of only 50 people.