Question:
If P(A) = 1 3 , P(B) = 1 2 and P( A Ç B) = 1 4 , then what is the value of P(B|Ac)?
If P(A) = 1 3 , P(B) = 1 2 and P( A Ç B) = 1 4 , then what is the value of P(B|Ac)?
Options:
- a) 1 8
- b) 3 8
- c) 5 8
- d) 7 8
- a) 1 8
- b) 3 8
- c) 5 8
- d) 7 8
correct answer : b)
Explanation:
P(B/A’) =
P()
)
BAA’
P(A’
=
PB P(BA )
1P (A
()
)
-∩
–
=
1
2
1
4
1 1
3
–
– =
1
4
3
2×
= 3
8
P(B/A’) =
P()
)
BAA’
P(A’
=
PB P(BA )
1P (A
()
)
-∩
–
=
1
2
1
4
1 1
3
–
– =
1
4
3
2×
= 3
8