Suppose we have the sample space [tex]S = \{0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50\}[/tex] with events [tex]E = \{5, 20, 40, 45, 50\}[/tex], [tex]F = \{0, 20, 25, 35, 40, 45\}[/tex], and [tex]G = \{0, 5, 25, 35, 40\}[/tex].

Determine each of the following sets. (Enter each set as a comma-separated list between curly braces.)

Question

High School

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Answer :

willow05 willow05 · Answer 1 · 2025-01-14T01:18:51-05:00

The intersections of the events E and F, E and G, and F and G are {20,40,45}, {5,40}, and {0,25,35,40} respectively in the given set S.

To find the intersection of events E and F, you must find the elements that appear in both sets. Therefore, E ∩ F = {20,40,45}.

For the intersection of events E and G, you should find the elements that are present in both these sets. Hence, E ∩ G = {5,40}.

Lastly, for the intersection of events F and G, you must identify the elements that appear in both these sets. Thus, F ∩ G = {0,25,35,40}.

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