Good day,
Would like to ask about the meaning of ^ in P(S^B) as shown in the image below. Thanks for your help!!
Regards, Math noob
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1It usually means 'and'. – Dan Nov 08 '13 at 09:43
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Intersection of two sets – Gautam Shenoy Nov 08 '13 at 09:43
1 Answers
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The $\wedge$ symbol is the and operator, so on the first line, $P(S \wedge B)=P(S)P(B)$ says "The probability of both $S$ and $B$ equals the probability of $S$ times the probability of $B$".
J. W. Perry
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how do you calculate that? does that mean joint distribution P(S,B)? – Vincent Benedict Victor Nov 08 '13 at 09:58
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This wiki should answer that for you, at least for the first line, regarding statistical independence. Note that they use the intersection symbol $\cap$ in the wiki, but there is a correlation between the symbols $\wedge$ and $\cap$. You will see that correlation I am sure. I can not improve on this wiki, and yes that is joint probability. – J. W. Perry Nov 08 '13 at 10:01