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Mathematics 10 Online
OpenStudy (anonymous):

Help with probability?

OpenStudy (anonymous):

@uri @perl @ganeshie8

OpenStudy (anonymous):

I will help :) What's the problem

OpenStudy (anonymous):

Choose a row and column and compare P(A | B) with P(B | A). Explain what each probability means in the context of the situation and data you collected.:

undeadknight26 (undeadknight26):

Alright do you know how to find the probability of this? Or is that what you need help with?

OpenStudy (anonymous):

I'm just kinda lost on what column to choose.

OpenStudy (anonymous):

And where to go from there.

undeadknight26 (undeadknight26):

Choose any one

OpenStudy (anonymous):

Okay, how about Nikon professional photographers to Canon professional photographers?

OpenStudy (anonymous):

@undeadknight26

undeadknight26 (undeadknight26):

One second please :)

OpenStudy (anonymous):

Okay, sorry!

undeadknight26 (undeadknight26):

It's fine m8 :)

undeadknight26 (undeadknight26):

I'm just refreshing my memory on probability lol

undeadknight26 (undeadknight26):

Well you chose the Professional column right?

OpenStudy (anonymous):

Yes!

undeadknight26 (undeadknight26):

This question is busting my brain ._. @acxbox22 @surjithayer @sleepyjess @dan815 @geny55 @gabylovesu @campbell_st @Nurali @robtobey

undeadknight26 (undeadknight26):

Sorry mate I thought I could do it but I forgot everything about probability :/

OpenStudy (perl):

Would you like help with this?

OpenStudy (anonymous):

Yes please!

OpenStudy (perl):

you want to compare P(A|B) and P(B|A) First lets define A and B

OpenStudy (anonymous):

Okay, how?

OpenStudy (perl):

Let A = professional B = Nikon brand Once you define A and B, then it forces the complements to be: A' = non professional B' = the other brand Canon

OpenStudy (anonymous):

Okay got it. So how would I label that with P(A | B) and P(B | A)?

OpenStudy (perl):

P(A|B) means the probability of event A given that you know event B has already occured. On the table this means we only look at event B's row or column

OpenStudy (anonymous):

Okay, so P(8|12)?

OpenStudy (perl):

P( A|B) = P( professional | Nikon brand )

OpenStudy (anonymous):

Oh so I don't need to put any numbers in?

OpenStudy (perl):

The given part means that we only look in the row 'Nikon'

OpenStudy (anonymous):

Oh okay! So P(Profesional | Nikon) and P(Nikon | Profesional)?

OpenStudy (anonymous):

Professional*

OpenStudy (perl):

P( A|B) = P( professional | Nikon brand ) we look only in the Nikon row. http://prntscr.com/7kwtse therefore P(A|B) = 8/10

OpenStudy (perl):

the `|` symbol means 'given' .

OpenStudy (anonymous):

OHH I understand!

OpenStudy (anonymous):

And then vise versa for P(B | A)?

OpenStudy (perl):

yes

OpenStudy (anonymous):

Okay, what about P(A∩B) with P(A∪B)?

OpenStudy (perl):

P( B|A) = P( Nikon brand | Professional ) http://prntscr.com/7kwury 8/12

OpenStudy (anonymous):

Got it! What about my question above?

OpenStudy (perl):

Okay, what about P(A∩B) = 8/20 P(A∪B) = (8 + 2 + 4) / 20

OpenStudy (anonymous):

That's it?

OpenStudy (perl):

little more detail here

OpenStudy (perl):

P(A∩B) : probability of professional `and` Nikon http://prntscr.com/7kwx9w = 8/20 P(A∪B) : probiablity of professional `or` Nikon http://prntscr.com/7kwxo7 = (8 + 2 + 4) / 20

OpenStudy (perl):

You can think think of it in terms of intersection of row and column P(A∩B) http://prntscr.com/7kx0gv

OpenStudy (anonymous):

Ohh okay! So I said... Compare P(A∩B) with P(A∪B), and explain what each probability means in the context of the situation and data you collected.: P(A∩B) = 8/20 (probability of professional and Nikon). Here, were only looking at the eight professional Nikon photographers. P(A∪B) = (8 + 2 + 4) / 20 (probability of professional or Nikon). Here, we’re using data from the professional column of Canon and Nikon plus Nikon’s two non-professionals.

OpenStudy (perl):

Looks good :)

OpenStudy (anonymous):

Okay great! Thank you so much! Only three more homework assignments till I graduate!

OpenStudy (perl):

A∩B is also called `A intersect B` or `A & B ` A∪B is called `A union B` or `A or B `

OpenStudy (perl):

Good luck :)

OpenStudy (anonymous):

Alright, it's in my notes now. Thank you!

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