NDA 2018 Paper 2 | Probability Question 55 | Mathematics

Let A, B and C be three mutually exclusive and exhaustive events associated with a random experiment. If P(B) = 1.5 P(A) and P(C) = 0.5 P(B), then P(A) is equal to

$${3 \over 4}$$

$${4 \over 13}$$

$${2 \over 3}$$

$${1 \over 2}$$

NDA 2018 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

In a bolt factory, machines X, Y, Z manufacture bolts that are respectively 25%, 35% and 40% of the factory's total output. The machines X, Y, Z respectively produce 2%, 4% and 5% defective bolts. A bolt is drawn at random from the product and is found to be defective. What is the probability that it was manufactured by machine X?

$${5 \over {39}}$$

$${14 \over {39}}$$

$${20 \over {39}}$$

$${34 \over {39}}$$

NDA 2018 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

8 coins are tossed simultaneously. The probability of getting at least 6 heads is

$${7 \over {64}}$$

$${{57} \over {64}}$$

$${{37} \over {256}}$$

$${{229} \over {256}}$$

NDA 2018 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

Three groups of children contain 3 girls and 1 boy; 2 girls and 2 boys; 1 girl and 3 boys. One child is selected at random from each group. The probability that the three selected consist of 1 girl and 2 boys is

$${{13} \over {32}}$$

$${9 \over {32}}$$

$${3 \over {32}}$$

$${1 \over {32}}$$

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