1
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
8 coins are tossed simultaneously. The probability of getting at least 6 heads is
A
$${7 \over {64}}$$
B
$${{57} \over {64}}$$
C
$${{37} \over {256}}$$
D
$${{229} \over {256}}$$
2
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Three groups of children contain 3 girls and 1 boy; 2 girls and 2 boys; 1 girl and 3 boys. One child is selected at random from each group. The probability that the three selected consist of 1 girl and 2 boys is
A
$${{13} \over {32}}$$
B
$${9 \over {32}}$$
C
$${3 \over {32}}$$
D
$${1 \over {32}}$$
3
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If probability of simultaneous occurrence of two events A and B is p and the probability that exactly one of A, B occurs is q, then which of the following is/are correct?

1. P($$\overline A $$) + P($$\overline B $$) = 2 $$-$$ 2p $$-$$ q

2. P($$\overline A $$ $$\cap$$ $$\overline B $$) = 1 $$-$$ p $$-$$ q

Select the correct answer using the code given below.
A
Only 1
B
Only 2
C
Both 1 and 2
D
Neither 1 nor 2
4
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Two integers x and y are chosen with replacement from the set [0, 1, 2, ........., 10]. The probability that | x $$-$$ y | > 5 is
A
$${6 \over {11}}$$
B
$${35 \over {121}}$$
C
$${30 \over {121}}$$
D
$${25 \over {121}}$$
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