Drawing from a bag of colored balls. Suppose we have bag that contains 5 Red balls, 3 Blue balls, 6 Yellow balls, and 1 Pink ball. The experiment: We draw three balls (with replacement). Run a simulation for this experiment, store the values into the vector 'three_ball_draws_rep' Compute the empirical probability of getting all three balls to be Red. Compare this value with the actual probability. Compute the empirical probability of getting at least two balls that are red. Compare this with the actual probability. New Experiment: Draw three balls without replacement. Run a simulation for this experiment, store the values into the vector 'three_ball_draws_rep'New Experiment: Draw three balls without replacement. Run a simulation for this experiment, store the values into the vector 'three_ball_draws_rep' Compute the empirical probability of getting all three balls to be Red. Compare this value with the actual probability. Compute the empirical probability of getting at least two balls that are red. Compare this with the actual probability