Probability

- anonymous

Probability

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- schrodinger

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- anonymous

##### 1 Attachment

- kropot72

Which parts are you having trouble with? For example can you do section 1 of the question?

- anonymous

Im having ahard time analyzing 2,4 and 6..

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- anonymous

oh and even 5

- anonymous

Hmm. @kropot72 . The first condition was a' u c.. what does it mean?

- kropot72

Looking at part 1
\[\large A'\cup C\]
means the union of the complement of subset A and subset C.

- anonymous

so the answer would be {3,4,5} right?

- kropot72

Not really. The complement of A, denoted by A' is the set of elements which belong to S but do not belong to A. Can you try find A' as a first step in solving part 1 and post your result.

- anonymous

##### 1 Attachment

- kropot72

Your calculation does not have the complement of A, which the question writes as A'.
My previous posting explained the meaning of the complement of A. Please refer to it.

- kropot72

S = {1, 2, 3, 4, 5, 6, 7, 8, 9}
A = {2, 4, 7, 9}
A' = {?, ?, ?, ?, ?}

- anonymous

1,3,,5,6,8,

- anonymous

Oh sorry. The condition was a' u c not s. =)

- kropot72

As you posted, A' = {1, 3, 5, 6, 8}
Now what is the union of A' and C?

- anonymous

3,4,5 right?

- anonymous

But what if.. the condition was like this? [a' u c]'.. is it a null set?

- kropot72

Not really. You need to find the union of A' = {1, 3, 5, 6, 8} and C = {2, 3, 4, 5}.

- kropot72

The union of A' and C is the set of all those elements, each one of which belongs to A' or to C, or belongs to both A' and C.

- anonymous

so its 1,2,3,4

- kropot72

Why have you not included 5, 6 and 8?

- kropot72

5 is in A' and C.
6 and 8 are both in C.

- anonymous

Ah yes. Im sorry. Im still digesting this complement thing

- anonymous

How about no. 3? |dw:1435210474368:dw|

- kropot72

np. So we have
\[\large A'\cup C={1, 2, 3, 4, 5, 6, 8}\]

- kropot72

With curly brackets at the start and end of the elements.

- anonymous

=)

- anonymous

Ahm. Ill try to answer the no. 3 condition..

- anonymous

is it 1,7,9?

- kropot72

\[\large B\cap C'\]
means the intersection of B and the complement of C'.
The intersection is the set of all elements common to both B and C'.

- anonymous

the intersection would be 3,5

- kropot72

Yes {1, 7, 9} is correct for section 3.

- kropot72

Sorry, I must log out for a while to eat. Perhaps I can continue later. Hope I have been of some help.

- anonymous

Sure thing @kropot72 Thank you thank you so much =)

- kropot72

You're welcome :)

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