57
MCQ (Single Correct Answer)
If $P(A \cap B)=\frac{7}{10}$ and $P(B)=\frac{17}{20}$, then $P(A / B)$ equals to
A
$\frac{14}{17}$
B
$\frac{17}{20}$
C
$\frac{7}{8}$
D
$\frac{1}{8}$
58
MCQ (Single Correct Answer)
If $P(A)=\frac{3}{10}, P(B)=\frac{2}{5}$ and $P(A \cup B)=\frac{3}{5}$, then $P(B / A)+P(A / B)$ equals to
A
$\frac{1}{4}$
B
$\frac{1}{3}$
C
$\frac{5}{12}$
D
$\frac{7}{12}$
59
MCQ (Single Correct Answer)
If $P(A)=\frac{2}{5}, P(B)=\frac{3}{10}$ and $P(A \cap B)=\frac{1}{5}$, then $P\left(A^{\prime} / B^{\prime}\right) \cdot P\left(B^{\prime} / A^{\prime}\right)$ is equal to
A
$\frac{5}{6}$
B
$\frac{5}{7}$
C
$\frac{25}{42}$
D
$1$
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