You are playing the duck pond game at the carnival! There are 20 ducks in the pond. Five of the ducks have blue dots on their be
llies. You win if you pick up a duck that has a blue dot. You can play one round for $1 or four rounds for $3. In each round you will pick a duck out of the pond and see if it has a blue dot on its belly. If you win you get a prize. After that you place the duck back in the pond, close your eyes, and the worker moves all of the ducks around. If you play the duck pond game four times, what is the probability that you will win three of the times? (Hint: How many possible outcomes are there for this experiment?)
