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# Probability rule question,help watch

1. is P(A∩B') the same as P'(B∩A)
2. (Original post by youreanutter)
is P(A∩B') the same as P'(B∩A)
No, " P' " has no meaning.

If you meant another combination of A and B, then you may find a Venn diagram useful.
3. (Original post by ghostwalker)
No, " P' " has no meaning.

If you meant another combination of A and B, then you may find a Venn diagram useful.
??
4. (Original post by youreanutter)
is P(A∩B' the same as P'(B∩A)
P(A∩B') means those elements which are in A and not B.

Consider the experiment of rolling a die.
Let A be the event 'getting a prime number' , B be the event ' getting an odd number' . So,
A= {2,3,5}
B= {1,3,5}

So, A∩B' will be {2}
and P (A∩B') will be equal to 1/6.

(A∩B) = {3,5}
(A∩B)' = {1,2,4,6}
So, P(A∩B)' = 4/6

So, these 2 are not same.

Let me know if there is any confusion now.
5. (Original post by skalra)
P(A∩B' means those elements which are in A and not B.

Consider the experiment of rolling a die.
Let A be the event 'getting a prime number' , B be the event ' getting an odd number' . So,
A= {2,3,5}
B= {1,3,5}

So, A∩B' will be {2}
and P (A∩B' will be equal to 1/6.

(A∩B) = {3,5}
(A∩B)' = {1,2,4,6}
So, P(A∩B)' = 4/6

So, these 2 are not same.

Let me know if there is any confusion now.
thanks that helped a lot

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Updated: December 13, 2015
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