60
MCQ (Single Correct Answer)
If $A$ and $B$ are two events such that $P(A)=\frac{1}{2}, P(B)=\frac{1}{3}$ and $P(A / B)=\frac{1}{4}$, then $P\left(A^{\prime} \cap B^{\prime}\right)$ equals to
A
$\frac{1}{12}$
B
$\frac{3}{4}$
C
$\frac{1}{4}$
D
$\frac{3}{16}$
61
MCQ (Single Correct Answer)
If $P(A)=0.4, P(B)=0.8$ and $P(B / A)=0.6$, then $P(A \cup B)$ is equal to
A
0.24
B
0.3
C
0.48
D
0.96
62
MCQ (Single Correct Answer)
If $A$ and $B$ are two events and $A \neq \phi, B \neq \phi$, then
A
$P(A / B)=P(A) \cdot P(B)$
B
$P(A / B)=\frac{P(A \cap B)}{P(B)}$
C
$P(A / B) \cdot P(B / A)=1$
D
$P(A / B)=P(A) / P(B)$
63
MCQ (Single Correct Answer)
If $A$ and $B$ are events such that $P(A)=0.4, P(B)=0.3$ and $P(A \cup B)=0.5$, then $P\left(B^{\prime} \cap A\right)$ equals to
A
$\frac{2}{3}$
B
$\frac{1}{2}$
C
$\frac{3}{10}$
D
$\frac{1}{5}$
64
MCQ (Single Correct Answer)
If $A$ and $B$ are two events such that $P(B)=\frac{3}{5}, P(A / B)=\frac{1}{2}$ and $P(A \cup B)=\frac{4}{5}$, then $P(A)$ equals to
A
$\frac{3}{10}$
B
$\frac{1}{5}$
C
$\frac{1}{2}$
D
$\frac{3}{5}$