NDA 2016 Paper 2 | Probability Question 15 | Mathematics

A salesman has a 70% chance to sell a product to any customer. The behaviour of successive customers is independent. If two customers A and B enter, what is the probability that the salesman will sell the product to customer A or B ?

0.98

0.91

0.70

0.49

NDA 2016 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

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?

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

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

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

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

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