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$$ P(A) = P(A|B) or P(A)> P(A|B),or , P(A|B)$$

A is the event that the student is male, and B is the even that the student is over six feet tall.

SO for the first equation $$ P(A) = P(A|B)$$ The probability of A is going to be the probability of a student being Male given that they are 6 feet tall? How would i Create a mathematical equation? $$S M = Students Male$$ $$S T = Six feet tall$$ $$ P(M) = P(S M|S T) $$ I didn't really understand what the question was actually asking? Did I do this right?

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In general, $P(A) = P(A | B) P(B) + P(A | B^C) P(B^C)$. You can have $P(A) > P(A|B)$, $P(A) < P(A|B)$ and $P(A)=P(A|B)$.

In this case, you would expect the fact that you know that the height is more than 6 feet to make it much more likely than the general population to be male (men are typically about 5 inches taller than women, and women average around 5'4"). So, you'd expect P(male | over six feet tall) > P(male).

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  • $\begingroup$ So, are you saying that all the equations are the same?, I understand a little bit, but could you explain it a bit more, your whole answer..and Thanks you for answering $\endgroup$ – MATH ASKER Dec 14 '15 at 1:57

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