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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
$\frac{4}{7}$
78
MCQ (Single Correct Answer)

If a die is thrown and a card is selected at random from a deck of 52 playing cards, then the probability of getting an even number on the die and a spade card is

A
$\frac{1}{2}$
B
$\frac{1}{4}$
C
$\frac{1}{8}$
D
$\frac{3}{4}$
79
MCQ (Single Correct Answer)

A box contains 3 orange balls, 3 green balls and 2 blue balls. Three balls are drawn at random from the box without replacement. The probability of drawing 2 green balls and one blue ball is

A
$\frac{3}{28}$
B
$\frac{2}{21}$
C
$\frac{1}{28}$
D
$\frac{167}{168}$