6. Suppose that a box contains 5 white marbles and 5 red marbles. Consider the following experiment: 1. Roll a pair of dice, and compute the sum of the two numbers that were rolled. 2. If the sum is less than or equal to 4, randomly select 1 marble from the box. 3. If the sum is greater than or equal to 10, randomly select (without replacement) 2 marbles from the box. 4. If the sum is any value that falls outside the above ranges, do not select any marbles from the box. CISC 203: Discrete Mathematics for Computing II Problem Set 3, Winter 2021 Page 3 (a) Calculate the probability that at least one red marble is removed from the box after performing the above experiment. Show your work. (b) Calculate the conditional probability that the sum of the dice is greater than or equal to 10, given that at least one red marble is removed from the box after performing the above experiment. Show your work