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
$\frac{3}{5}$
65
MCQ (Single Correct Answer)
In question 64 (above), $P\left(B / A^{\prime}\right)$ is equal to
A
$\frac{1}{5}$
B
$\frac{3}{10}$
C
$\frac{1}{2}$
D
$\frac{3}{5}$
66
MCQ (Single Correct Answer)
If $\quad P(B)=\frac{3}{5}, \quad P(A / B)=\frac{1}{2} \quad$ and $\quad P(A \cup B)=\frac{4}{5}, \quad$ then $P(A \cup B)^{\prime}+P\left(A^{\prime} \cup B\right)$ is equal to
A
$\frac{1}{5}$
B
$\frac{4}{5}$
C
$\frac{1}{2}$
D
$1$