Question

Probability

Answer 1

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

Answer 2

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

Answer 3

oh and even 5

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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.

Answer 8

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.

Answer 9

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

Answer 10

1,3,,5,6,8,

Answer 11

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

Answer 12

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

Answer 13

3,4,5 right?

Answer 14

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

Answer 15

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

Answer 16

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.

Answer 17

so its 1,2,3,4

Answer 18

Why have you not included 5, 6 and 8?

Answer 19

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

Answer 20

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

Answer 21

How about no. 3?

Answer 22

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

Answer 23

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

Answer 24

=)

Answer 25

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

Answer 26

is it 1,7,9?

Answer 27

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

Answer 28

the intersection would be 3,5

Answer 29

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

Answer 30

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

Answer 31

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

Answer 32

You're welcome :)