A box contains 100 balls, r of which are red. Suppose that the balls are drawn at random from the box one at a time without replacement. Find the three probabilities: P(rst ball drawn is red), P(50th ball drawn is red), P(last ball drawn is red). Do each of these with a simulation in R. Allow r to take the values 12; 50, and 83, and see if you can generalize. Base your answer on simulations of size 100000. Submit your R code and output.