NDA 2016 Paper 2 | Probability Question 16 | Mathematics

A student appears for tests I, II and III. The student is considered successful if he passes in tests I, II or I, III or all the three. The probabilities of the student passing in tests I, II and III are m, n and 1/2 respectively. If the probability of the student to be successful is 1/2, then which one of the following is correct?

m(1 + n) = 1

n(1 + m) = 1

m = 1

mn = 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?

209 / 343

134/343

149/343

60/343

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?

$${1 \over {1024}}$$

$${{243} \over {1024}}$$

$${{1023} \over {1024}}$$

$${{781} \over {1024}}$$

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 ?

$${3 \over 7}$$

$${3 \over 4}$$

$${1 \over 3}$$

$${4 \over 7}$$

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