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I changed the P(head) = 0.5, P(tail)=0.5, and P(head)+P(tail)=1 explanation because it gives the wrong impression of what collectively exhaustive means. For instance, say you're picking an integer, x, less than or equal to 10. P(x is even) = 0.5, P(x<6) = 0.5, so P(x is even)+P(x<6)=1 but the two events aren't collectively exhaustive because odd numbers greater than or equal to 6 are never chosen. In fact, P(x is even OR x<6) = 0.8.

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I changed the P(head) = 0.5, P(tail)=0.5, and P(head)+P(tail)=1 explanation because it gives the wrong impression of what collectively exhaustive means. For instance, say you're picking an integer, x, less than or equal to 10. P(x is even) = 0.5, P(x<6) = 0.5, so P(x is even)+P(x<6)=1 but the two events aren't collectively exhaustive because odd numbers greater than or equal to 6 are never chosen. In fact, P(x is even OR x<6) = 0.8.


I added the section about the comparison of mutual exclusivity with colletive exhaustion. I did the same thing with the wikipedia stub on [[mutually exclusive]] and crossed referenced both articles with each other. I am not a professional mathematician, so if I have made an error in this update please correct it and I'll have no worries.
I added the section about the comparison of mutual exclusivity with colletive exhaustion. I did the same thing with the wikipedia stub on [[mutually exclusive]] and crossed referenced both articles with each other. I am not a professional mathematician, so if I have made an error in this update please correct it and I'll have no worries.

Revision as of 02:23, 28 August 2011

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I changed the P(head) = 0.5, P(tail)=0.5, and P(head)+P(tail)=1 explanation because it gives the wrong impression of what collectively exhaustive means. For instance, say you're picking an integer, x, less than or equal to 10. P(x is even) = 0.5, P(x<6) = 0.5, so P(x is even)+P(x<6)=1 but the two events aren't collectively exhaustive because odd numbers greater than or equal to 6 are never chosen. In fact, P(x is even OR x<6) = 0.8.

I added the section about the comparison of mutual exclusivity with colletive exhaustion. I did the same thing with the wikipedia stub on mutually exclusive and crossed referenced both articles with each other. I am not a professional mathematician, so if I have made an error in this update please correct it and I'll have no worries.

capitalist

I removed the stub tag from this article because its scope is narrow enough to justify the short length. capitalist 03:39, 6 September 2005 (UTC)[reply]