1
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$P(B) = {3 \over 4}$$, $$P(A \cap B \cap \overline C ) = {1 \over 3}$$ and $$P(\overline A \cap B \cap \overline C ) = {1 \over 3}$$, then what is $$P(B \cap C)$$ equal to ?
A
$${1 \over {12}}$$
B
$${3 \over {4}}$$
C
$${1 \over {15}}$$
D
$${1 \over {9}}$$
2
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
In a multiple-choice test, an examinee either knows the correct answer with probability p, or guesses with probability 1 $$-$$ p. The probability of answering a question correctly is $${1 \over m}$$, if he or she merely guesses. If the examinee answers a question correctly, the probability that he or she really knows the answer is
A
$${{mp} \over {1 + mp}}$$
B
$${{mp} \over {1 + (m - 1)p}}$$
C
$${{(m - 1)p} \over {1 + (m - 1)p}}$$
D
$${{(m - 1)p} \over {1 + mp}}$$
3
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Five sticks of length 1, 3, 5, 7 and 9 feet are given. Three of these sticks are selected at random. What is the probability that the selected sticks can form a triangle?
A
0.5
B
0.4
C
0.3
D
0
4
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
A committee of two persons is constituted from two men and two women. What is the probability that the committee will have only women?
A
$${1 \over 6}$$
B
$${1 \over 3}$$
C
$${1 \over 2}$$
D
$${2 \over 3}$$
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