OPY Question 2 A bag of marbles contains 4 red marbles and 6 blue marbles. Consider the experiment where 3 marbles are selected from the bag and then a standard 6-sided die is rolled. NOT C NOT CO (a)...

Need help on part D

Extracted text: OPY Question 2 A bag of marbles contains 4 red marbles and 6 blue marbles. Consider the experiment where 3 marbles are selected from the bag and then a standard 6-sided die is rolled. NOT C NOT CO (a) Consider the sample space S for the experiment, what is n(S)? Note: The order of the three selected marbles does not matter. (b) Consider the event E that all the marbles chosen were blue. What is the probability of E? (c) Consider the event F that the number rolled is even. What is the probability of F? (d) Are the events E and F mutually exclusive? Why or why not? (e) Are the events E and F independent? Justify your answer by calculating a corresponding conditional probability. NOT COPY DO NOT OT COPY DO NO COPY DO OPY O NOT COPYONOT C with in the in OT O NO PY D DO ONO DOI DO NO 2Y DO NOT CO DO NOT CO