Question:
If P(A) = 1 3 , P(B) = 1 2 and P( A Ç B) = 1 4 , then what is the value of P(Ac Ç Bc)?
If P(A) = 1 3 , P(B) = 1 2 and P( A Ç B) = 1 4 , then what is the value of P(Ac Ç Bc)?
Options:
- a) 1 4
- b) 5 12
- c) 7 12
- d) 11 12
- a) 1 4
- b) 5 12
- c) 7 12
- d) 11 12
correct answer : b)
Explanation:
P(A’ÇB’) = 1 – P(AÈB)
= 1 – [P(A) + P(B) – P(AÇB)]
= 1 – 1
3
1
2
1
4+-
= 1 – 46 3
12
+-
= 1 – 7
12
= 5
12
P(A’ÇB’) = 1 – P(AÈB)
= 1 – [P(A) + P(B) – P(AÇB)]
= 1 – 1
3
1
2
1
4+-
= 1 – 46 3
12
+-
= 1 – 7
12
= 5
12