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Calculus and Beyond Homework Help
Sample spaces, events and set theory intersection
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[QUOTE="Ray Vickson, post: 4977921, member: 330118"] Strictly speaking, an event is a subset of the sample space so should not have parentheses around its name. Thus, we have (for example) [tex] \rm{King} = \{ \text{King of hearts, King of spades, King of clubs, King of diamonds} \}\\ = \{ \rm{(KH),(KS),(KC),(KD)} \}.[/tex] Here, the parentheses are around the elements of the subset, not around the name of the subset. However, when writing things out it might be that you want to use the word "King" or "Kings" in two different ways, one as some type of general description and one as the name of an event in the sample space. Since we want to avoid mixing up the meanings of these two usages, it is useful to put parentheses around the word when we want to make it clear it is a subset, so we could write {King} for the event and 'King' for some other type of usage. [/QUOTE]
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Sample spaces, events and set theory intersection
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