NDA 2019 Paper 2 | Probability Question 76 | Mathematics

Consider the following statements :

1. If A and B are mutually exclusive events, then it is possible that P(A) = P(B) = 0.6

2. If A and B are any two events such that P(A / B) = 1, then P($$\overline B $$ / $$\overline A $$) = 1.

Which of the above statement is/are correct?

Only 1

Only 2

Both 1 and 2

Neither 1 nor 2

NDA 2019 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

There are 3 coins in a box. One is a two-headed coin; another is a fair coin; and third is biased coin that comes up heads 75% of time. When one of the three coins is selected at random and flipped, it shows heads. What is the probability that it was the two-headed coin?

$${2 \over 9}$$

$${1 \over 3}$$

$${4 \over 9}$$

$${5 \over 9}$$

NDA 2019 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

If 5 of a Company's 10 delivery trucks do not meet emission standards and 3 of them are chosen for inspection, then what is the probability that none of the trucks chosen will meet emission standards?

$${1 \over 8}$$

$${3 \over 8}$$

$${1 \over 12}$$

$${1 \over 4}$$

NDA 2019 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on them is a prime number?

$${5 \over {12}}$$

$${1 \over {2}}$$

$${7 \over {12}}$$

$${2 \over {3}}$$

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