1
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
In a binomial distribution, the mean is three times its variance. What is the probability of exactly 3 successes out of 5 trials ?
A
$${{80} \over {243}}$$
B
$${{40} \over {243}}$$
C
$${{20} \over {243}}$$
D
$${{10} \over {243}}$$
2
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following statements

I. P($$\overline A $$ $$\cup$$ B) = P($$\overline A $$) + P(B) $$-$$ P($$\overline A $$ $$\cap$$ B)

II. P(A $$\cap$$ $$\overline B $$) = P(B) $$-$$ P(A $$\cap$$ B)

III. P(A $$\cap$$ B) = P(B) P(A / B)

Which of the above statements are correct?
A
I and II
B
I and III
C
II and III
D
I, II and III
3
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The probabilities that a student will solve Question A and Question B are 0.4 and 0.5 respectively. What is the probability that he solves at least one of the two questions ?
A
0.6
B
0.7
C
0.8
D
0.9
4
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Two fair dice are rolled. What is the probability of getting a sum of 7 ?
A
$${1 \over {36}}$$
B
$${1 \over {6}}$$
C
$${7 \over {12}}$$
D
$${5 \over {12}}$$
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