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NDA (Held On: 19 Apr 2015) Maths Previous Year paper

Option 1 : 1/2

__Concept:__

P(A̅) = 1- P(A)

__Calculation:__

Here, let probability of a man hitting target P(A) = 1/2 and

Probability of another man hitting target P(B) = 1/3

So, probability of a man not hitting target = P(A̅) = 1 - 1/2 = 1/2 and

Probability of another man not hitting target = P(B̅) = 1 - 1/3 = 2/3

Now, required probability = P(A)P(B̅) + P(B)P(A̅)

\(\begin{array}{l} \Rightarrow\left(\frac{1}{2}\right)\left(\frac{2}{3}\right)+\left(\frac{1}{3}\right)\left(\frac{1}{2}\right) \\ \Rightarrow \frac{2}{6}+\frac{1}{6} \\ \Rightarrow \frac{1}{2} \end{array}\)

Hence, option (1) is correct.

Noun & Pronoun: Fill In The Blanks (Most Important Rules)

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