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august 17 1993 events Counting (1 viewing) (1) Guests
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TOPIC: august 17 1993 events Counting
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august 17 1993 events Counting
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So I'm going over the Sum Rule Principle, and it just doesn't make sense to me. It says: Suppose some event E can occur in m ways and a second event F can occur in n ways, and suppose both events cannot occur simultaneously. Then E or F can occur in m+n ways. What? I just don't get it, for instance, if I say event E is me taking a written driving test, and event F is me taking a behind the wheel test , each event can end in two ways, me passing or failing, but that does not mean, according to the Sum Rule Principle, that either event can end in 4 (m+n) ways, does it? Maybe I'm using a poor example, and someone can provide a better one that would illustrate the point better. J
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august 17 1993 events Counting
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sense to me. It says: Suppose some event E can occur in m ways and a second event F can occur in n ways, and suppose both events cannot occur simultaneously. Then E or F can occur in m+n ways. What? I just don't get it, for instance, if I say event E is me taking a written driving test, and event F is me taking a behind the wheel test , each event can end in two ways, me passing or failing, but that does not mean, according to the Sum Rule Principle, that either event can end in 4 (m+n) ways, does it? Maybe I'm using a poor example, and someone can provide a better one that would illustrate the point better. Cannot occur simultaneously is part of the problem. In your example, the written test and the driving test don't occur simultaneously , but this is not what the rule means by simultaneously . It means, rather, that if one occurs, the other can not, and vice versa. So a better example might be that you go to a bar (and there are 6 bars to choose from) or you go to a church (and there are 7 churches to choose from), so there are 6+7 possibilities for where you spend the evening. B.
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august 17 1993 events Counting
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So I'm going over the Sum Rule Principle, and it just doesn't make sense to me. It says: Suppose some event E can occur in m ways and a second event F can occur in n ways, and suppose both events cannot occur simultaneously. Then E or F can occur in m+n ways. What? I just don't get it, for instance, if I say event E is me taking a written driving test, and event F is me taking a behind the wheel test , each event can end in two ways, me passing or failing, but that does not mean, according to the Sum Rule Principle, that either event can end in 4 (m+n) ways, does it? Maybe I'm using a poor example, and someone can provide a better one that would illustrate the point better. J both events cannot occur simultaneously means here: the written test and the behind the wheel test cannot both occur. The word simultaneously does not mean at the same time but rather it means: if one occurs then the other does not.
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august 17 1993 events Counting
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august 17 1993 events Counting
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Bart, Niel Okay, then maybe I'm looking at it too granularly , and shouldn't take these events to mean, let's say, events a person might do in a day . Perhaps they should be looked at, as an example, events that might happen in a microprocessor or something, that can only process one thing at a time, and perhaps some code is written where all actions for event M are run through, and if none of them are chosen, then all actions for event N are run through, until one is chosen, therefore meaning, that even though events M and N are in the queue , only one element (action) out of m+n elements will be chosen from both sets? Is that a better way to look at it? J
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august 17 1993 events Counting
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both events cannot occur simultaneously means here: the written test and the behind the wheel test cannot both occur. The word simultaneously does not mean at the same time but rather it means: if one occurs then the other does not. However, the usual phrasing would be to say that the events are mutually exclusive, rather than using a cannot occur simultaneously circumlocution which leaves ambiguously open the logical possibility of the different events occurring at different times.
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