1
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
For two events A and B, it is given that $$P(A) = {3 \over {5}}$$ $$P(B) = {3 \over {10}}$$ and $$P(A/B) = {2 \over 3}$$. If $$\overline A $$ and $$\overline B $$ are the complementary events of A and B, then what is $$P(\overline A /\overline B )$$ equal to ?
A
$${3 \over 7}$$
B
$${3 \over 4}$$
C
$${1 \over 3}$$
D
$${4 \over 7}$$
2
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A machine had three parts, A, B and C, whose chances of being defective are 0.02, 0.10 and 0.05 respectively. The machine stops working if any one of the parts becomes defective. What is the probability that the machine will not stop working?
A
0.06
B
0.16
C
0.84
D
0.94
3
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Three independent events, A1, A2 and A3 occur with probabilities $$P({A_i}) = {1 \over {1 + i}}$$, i = 1, 2, 3. What is the probability that at least one of the three events occurs?
A
$${1 \over 4}$$
B
$${2 \over 3}$$
C
$${3 \over 4}$$
D
$${1 \over {24}}$$
4
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A coin is tossed three times. Consider the following events.

A : No head appears.

B : Exactly one head appears.

C : At least two heads appear.

Which one of the following is correct?
A
(A $$\cup$$ B) $$\cap$$ (A $$\cup$$ C) = B $$\cup$$ C
B
(A $$\cap$$ B') $$\cup$$ (A $$\cap$$ C') = B' $$\cup$$ C'
C
A $$\cap$$ (B' $$\cup$$ C') = A $$\cup$$ B $$\cup$$ C
D
A $$\cap$$ (B' $$\cup$$ C') = B' $$\cap$$ C'