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
$\frac{15}{29}$
75
MCQ (Single Correct Answer)
Refer to question 74 above. If the probability that exactly two of the three balls were red, then the first ball being red, is
A
$\frac{1}{3}$
B
$\frac{4}{7}$
C
$\frac{15}{28}$
D
$\frac{5}{28}$
76
MCQ (Single Correct Answer)
Three persons $A, B$ and $C$, fire at a target in turn, starting with $A$. Their probability of hitting the target are $0.4,0.3$ and 0.2 , respectively. The probability of two hits is
A
0.024
B
0.188
C
0.336
D
0.452