A probability experiment is conducted in which the sample space of the experiment is SequalsStartSet 3 comma 4 comma 5 comma 6 comma 7 comma 8 comma 9 comma 10 comma 11 comma 12 comma 13 comma 14 EndSet, event EequalsStartSet 5 comma 6 comma 7 comma 8 comma 9 comma 10 EndSet and event GequalsStartSet 11 comma 12 comma 13 comma 14 EndSet. Assume that each outcome is equally likely. List the outcomes in E and G. Are E and G mutually exclusive? Question content area bottom Part 1 List the outcomes in E and G. Choose the correct answer below. A. E and Gequals{ enter your response here} (Use a comma to separate answers as needed.) B. E and Gequals{ } Part 2 Are E and G mutually exclusive? A. No, because the events E and G have at least one outcome in common. B. Yes, because the events E and G have no outcomes in common. C. No, because the events E and G have outcomes in common. D. Yes, because the events E and G have at least one outcome in common.
Part 1: List the outcomes in E and G.
The outcomes in event ( E ) are: [ E = {5, 6, 7, 8, 9, 10} ]
The outcomes in event ( G ) are: [ G = {11, 12, 13, 14} ]
So, the correct answer is: A. ( E ) and ( G = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14} )
Part 2: Are E and G mutually exclusive?
Two events are mutually exclusive if they have no outcomes in common.
Since ( E ) contains the outcomes ( {5, 6, 7, 8, 9, 10} ) and ( G ) contains the outcomes ( {11, 12, 13, 14} ), there are no outcomes that are common to both events.
Thus, the correct answer is: B. Yes, because the events E and G have no outcomes in