Question 2 A bag of marbles contains 4 red marbles and 6 blue marbles. Consider the experi 3 marbles are selected from the bag and then a standard 6-sided die is rolled. (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? where NOT OPY ONOT Y DO NOT (c) Consider the event F that the number rolled is even. What is the probability (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 cale NO NO conditional probability. T CO CON NOG
Question 2 A bag of marbles contains 4 red marbles and 6 blue marbles. Consider the experi 3 marbles are selected from the bag and then a standard 6-sided die is rolled. (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? where NOT OPY ONOT Y DO NOT (c) Consider the event F that the number rolled is even. What is the probability (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 cale NO NO conditional probability. T CO CON NOG
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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.
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