NDA 2016 Paper 2 | Probability Question 22 | Mathematics

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 ?

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

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

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

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

NDA 2016 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

Let the random variable X follow B (6, p). If 16 P(X = 4) = P (X = 2), then what is the value of p?

$${1 \over 3}$$

$${1 \over 4}$$

$${1 \over 5}$$

$${1 \over 6}$$

NDA 2016 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

A fair coin is tossed 100 times. What is the probability of getting tails an odd number of times ?

1/2

3/8

1/4

1/8

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