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If events E and F are disjoint and the events F and G are disjoint, must the events E and G necessarily be disjoint? Give
If events E and F are disjoint and the events F and G are disjoint, must the events E and G necessarily be disjoint? Give an example to illustrate your opinion. Choose the correct answer below. 0 A. No, events E and G are not necessarily disjoint. For example, E = {0,1,2}, F ={3,4,5}, and G = {6,7,8} show that E and F are disjoint events, F and G are disjoint events, and E and G are events that are not disjoint. O B. No, events E and G are not necessarily disjoint. For example, E = {0,1,2}, F ={3,4,5}, and G = {2,6,7} show that E and F are disjoint events, F and G are disjoint events, and E and G are events that are not disjoint. O c. Yes, events E and G must be disjoint. For example, E ={0,1,2}, F ={3,4,5}, and G ={2,6,7} show that E and F are disjoint events, F and G are disjoint events, and E and G are also disjoint events. 0 D. Yes, events E and G must be disjoint. For example, E ={0,1,2}, F ={3,4,5}, and G ={6,7,8} show that E and F are disjoint events, F and G are disjoint events, and E and G are also disjoint events
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