NDA 2016 Paper 2 | Probability Question 20 | Mathematics

A machine had three parts, A, B and C, whose chances of being defective are 0.02, 0.10 and 0.05 respectively. The machine stops working if any one of the parts becomes defective. What is the probability that the machine will not stop working?

0.06

0.16

0.84

0.94

NDA 2016 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

Three independent events, A₁, A₂ and A₃ occur with probabilities $$P({A_i}) = {1 \over {1 + i}}$$, i = 1, 2, 3. What is the probability that at least one of the three events occurs?

$${1 \over 4}$$

$${2 \over 3}$$

$${3 \over 4}$$

$${1 \over {24}}$$

NDA 2016 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

A coin is tossed three times. Consider the following events.

A : No head appears.

B : Exactly one head appears.

C : At least two heads appear.

Which one of the following is correct?

(A $$\cup$$ B) $$\cap$$ (A $$\cup$$ C) = B $$\cup$$ C

(A $$\cap$$ B') $$\cup$$ (A $$\cap$$ C') = B' $$\cup$$ C'

A $$\cap$$ (B' $$\cup$$ C') = A $$\cup$$ B $$\cup$$ C

A $$\cap$$ (B' $$\cup$$ C') = B' $$\cap$$ C'

NDA 2016 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

In a series of 3 one-day cricket matches between teams A and B of a college, the probability of team A winning or drawing are 1/3 and 1/6 respectively. If a win, loss or draw gives 2, 0 and 1 point respectively, then what is the probability that team A will score 5 points in the series ?

$${{17} \over {18}}$$

$${{11} \over {12}}$$

$${{1} \over {12}}$$

$${{1} \over {18}}$$

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