Complement in Conditional Probability | P(A' | B) = 1 - P(A | B)

[@math_nerd_guy]

hell yeah thank you man although what is the property you use to get P(A'|B) = P(A' union B)?

[@DrMathaholic]

Welcome... I used the definition of conditional probability.. See the video here:: kzbin.info/www/bejne/jKvGhHpua9x-p6s

[@math_nerd_guy]

@@DrMathaholic nice!

[@VasanthaManjunath-w6p]

Sir can u tell me the formula for probability of a complement given probability of b complement i.e, (I need the formula for P[A'|B'])

[@VasanthaManjunath-w6p]

Can u reply me in the comment section the formula I need time now sir please sir

[@DrMathaholic]

@@VasanthaManjunath-w6p P(A'|B')= P(A' intersection B')/P(B')= P( (A union B)' )/1- P(B) = [ 1 - P(A union B)] / 1-P(B). You can use this formula: [ 1 - P(A union B)]/[1-P(B)]. Hope it helps

[@VasanthaManjunath-w6p]

@@DrMathaholic thank you sir

[@VasanthaManjunath-w6p]

@@DrMathaholic sir for P[B'|A']=[1-P(A union B)]/[1-P(A)] Is thus the formula or is there another formula

[@DrMathaholic]

@@VasanthaManjunath-w6p this is correct. There might b other versions, I don't know. But this is correct

[@MANIRIHOINNOCENT-mc4lp]

what about the P(B/A')

[@DrMathaholic]

@@MANIRIHOINNOCENT-mc4lp One has to use standard definition P( A intersection B')/P(B')

[@abdurrahmanlabib916]

The thumbnails r hilarious 😂

[@DrMathaholic]

😅🤣🤣

[@Amantheparadise]

Why u stop sir , please resume,,,, provide video related your intro and how u stay curious all enough stuffs ?

[@DrMathaholic]

@@Amantheparadise thank you.. I want to..but too much work in office🙁

[@jayavaradhanp8405]

Sir plz take linear transformation and continue real analysis

[@DrMathaholic]

Hi Lecture on linear transformation can be found in this Playlist:: Linear Algebra: kzbin.info/aero/PLwaXU7G6UrbfMflgIfLgka0k9oRJa9o24 After probability, i will try to start real analysis ..😊 thanks for suggesting.

[@rachanamandarachana4353]

Then what is p(A/B')

[@DrMathaholic]

One has to use standard definition P( A intersection B')/P(B')

[@FakeRaven621]

Thank you

[@DrMathaholic]

Welcome 😀

[@Daniel-do2mh]

Thank you!

[@DrMathaholic]

Welcome 😊

[@alikhaled844]

thanks !!

[@rupertjames41]

Thank you!

[@DrMathaholic]

Welcome:)