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Mathematics 14 Online
OpenStudy (mathmath333):

How to read this symbol

OpenStudy (mathmath333):

How to read this symbol \(\Large P(E|F)\)

OpenStudy (mathmath333):

?

OpenStudy (mathmath333):

that is not fraction

OpenStudy (welshfella):

i think that's the Probability of F given that the event E has occurred. Conditional probability

OpenStudy (sohailiftikhar):

P of E such that F

OpenStudy (mathmath333):

this is related to this https://en.wikipedia.org/wiki/Conditional_probability

OpenStudy (sohailiftikhar):

|=such that

OpenStudy (welshfella):

- or have i got it the wrong way around??

OpenStudy (mathmath333):

i think u told the opposite

OpenStudy (sohailiftikhar):

yes

OpenStudy (sohailiftikhar):

it can be read as P of E such that of F

OpenStudy (welshfella):

yes probability of E given F

OpenStudy (turingtest):

\[P(A | B) = \text{Conditional probability of A given B}\\P(P\cap B)=\text{Probability of A and B (the intersection of A and B)}\\P(P\cup B)=\text{Probability of A or B (the union of A and B)}\]

OpenStudy (turingtest):

oops those P's should be A's lol

OpenStudy (turingtest):

\[P(A | B) = \text{Conditional probability of A given B}\\P(A\cap B)=\text{Probability of A and B (the intersection of A and B)}\\P(A\cup B)=\text{Probability of A or B (the union of A and B)}\]

OpenStudy (sohailiftikhar):

lol

OpenStudy (sohailiftikhar):

nice work man! :)

ganeshie8 (ganeshie8):

now that you know what \(P(A|B)\) means, see if you can solve below problem |dw:1439733513721:dw|

ganeshie8 (ganeshie8):

A person is picked from the village at random. Find the probability that the person is a man, given that the person is 70 years or older

OpenStudy (mathmath333):

i just started learning it . can't solve

ganeshie8 (ganeshie8):

sure you can, you don't really need to know that formula you will discover that formula while solving the above problem

ganeshie8 (ganeshie8):

you're given that the person is 70 or older, so "only look at that column" : |dw:1439734227337:dw|

ganeshie8 (ganeshie8):

how many are 70 or older ? how many of them are men ?

OpenStudy (mathmath333):

5

OpenStudy (mathmath333):

70 old > 50 persons

ganeshie8 (ganeshie8):

there are 25 people that are 70 or older right ?

OpenStudy (mathmath333):

yes 25

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