NDA 2017 Paper 2 | Probability Question 39 | Mathematics

Let A and B be two events with $$P(A) = {1 \over 3}$$, $$P(B) = {1 \over 6}$$ and $$P(A \cap B) = {1 \over {12}}$$. What is $$P(B\,|\,\overline A )$$ equal to ?

$${1 \over 5}$$

$${1 \over 7}$$

$${1 \over 8}$$

$${1 \over 10}$$

NDA 2017 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

In a binomial distribution, the mean is $${2 \over 3}$$ and the variance is $${5 \over 9}$$. What is the probability that X = 2 ?

$${5 \over {36}}$$

$${25 \over {36}}$$

$${25 \over {216}}$$

$${25 \over {54}}$$

NDA 2017 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

The probability that a ship safely reaches a port is $${1 \over 3}$$. The probability that out of 5 ships, at least 4 ships would arrive safely is

$${1 \over {243}}$$

$${10 \over {243}}$$

$${11 \over {243}}$$

$${13 \over {243}}$$

NDA 2017 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

What is the probability that at least two persons out of a group of three persons were born in the same month (disregard year) ?

$${{33} \over {144}}$$

$${{17} \over {72}}$$

$${{1} \over {144}}$$

$${{2} \over {9}}$$

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