NDA 2017 Paper 2 | Probability Question 44 | Mathematics

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

$${{mp} \over {1 + mp}}$$

$${{mp} \over {1 + (m - 1)p}}$$

$${{(m - 1)p} \over {1 + (m - 1)p}}$$

$${{(m - 1)p} \over {1 + mp}}$$

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?

0.5

0.4

0.3

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?

$${1 \over 6}$$

$${1 \over 3}$$

$${1 \over 2}$$

$${2 \over 3}$$

NDA 2017 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

A question is given to three students A, B and C whose chances of solving it are $${1 \over 2}$$, $${1 \over 3}$$ and $${1 \over 4}$$ respectively. What is the probability that the question will be solved?

$${1 \over 24}$$

$${1 \over 4}$$

$${3 \over 4}$$

$${23 \over 24}$$

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