70
MCQ (Single Correct Answer)
If two events are independent, then
A
they must be mutually exclusive
B
the sum of their probabilities must be equal to 1
C
Both (a) and (b) are correct
D
None of the above is correct
71
MCQ (Single Correct Answer)
If $A$ and $B$ be two events such that $P(A)=\frac{3}{8}, P(B)=\frac{5}{8}$ and $P(A \cup B)=\frac{3}{4}$, then $P(A / B) \cdot P\left(A^{\prime} / B\right)$ is equal to
A
$\frac{2}{5}$
B
$\frac{3}{8}$
C
$\frac{3}{20}$
D
$\frac{6}{25}$
72
MCQ (Single Correct Answer)
If the events $A$ and $B$ are independent, then $P(A \cap B)$ is equal to
A
$P(A)+P(B)$
B
$P(A)-P(B)$
C
$P(A) \cdot P(B)$
D
$P(A) / P(B)$
73
MCQ (Single Correct Answer)
Two events $E$ and $F$ are independent. If $P(E)=0.3$ and $P(E \cup F)=0.5$, then $P(E / F)-P(F / E)$ equals to
A
$\frac{2}{7}$
B
$\frac{3}{35}$
C
$\frac{1}{70}$
D
$\frac{1}{7}$
74
MCQ (Single Correct Answer)
A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement, them the probability of getting exactly one red ball is
A
$\frac{45}{196}$
B
$\frac{135}{392}$
C
$\frac{15}{56}$
D
$\frac{15}{29}$