1
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The candidates solve a question. Odds in favour of the correct answer are 5 : 2, 4 : 3, and 3 : 4 respectively for the three candidates. What is the probability that at least two of them solve the question correctly?
A
209 / 343
B
134/343
C
149/343
D
60/343
2
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A medicine is known to be 75% effective to cure a patient. If the medicine is given to 5 patients, what is the probability that at least one patient is cured by this medicine?
A
$${1 \over {1024}}$$
B
$${{243} \over {1024}}$$
C
$${{1023} \over {1024}}$$
D
$${{781} \over {1024}}$$
3
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
$${4 \over 7}$$
4
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
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