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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
77
MCQ (Single Correct Answer)

Assume that in a family, each child is equally likely to be a boy or a girl. A family with three children is chosen at random. The probability that the eldest child is a girl given that the family has atleast one girl is

A
$\frac{1}{2}$
B
$\frac{1}{3}$
C
$\frac{2}{3}$
D
$\frac{4}{7}$