# Thread: Find P(A), P(B) and P(C)

1. ## Find P(A), P(B) and P(C)

I don't understand what this problem is asking. Anyone know?

Suppose that there is a sample space with five equally likely experimental outcomes: E1, E2, E3, E4, and E5.

Let:

A = {E1, E2}
B = {E3, E4}
C = {E2, E3, E5}

1. Find P(A), P(B), and P(C).
2. Find P(A U B). Are A and B mutually exlusive?

2. I think I have part of it figured out. They are all equally 1/5 or .20

1. Pa = e1 + e2 = .2 + .2 = .4
Pb = e3 + e4 = .2 + .2 = .4
Pc = e2 + e3 + e4 = .6

2. P(AUB) = .4+.4 = .8, mutually exclusive

However, there is an additional problem I don't understand.

3. (AUBc) and P(AUBc)

Anyone understand part 3?

3. Originally Posted by elementarystat
However, there is an additional problem I don't understand.
3. (AUBc) and P(AUBc)
$\displaystyle B^c=\left\{E_1,E_2,E_5\right\}$

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# suppose that we have a sample space with five equally likely experimental outcome {E1, E2 } {E2 ,E4 } {E2,E3,E4}

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