Probability
Aptitude

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Q.

The probability that a arrow fired from a point will hit the target is 1/4. Three such arrows are fired simultaneously towards the target from that very point. What is the probability that the target will be hit?

 A.

19/64

 B.

23/64

 C.

23/67

 D.

37/64

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Solution:
Option(D) is correct

Probability of a arrow not hitting the target \(=\dfrac{3}{4}\)

Probability that none of the 3 arrow will hit the target:

\(=\left(\dfrac{3}{4}\right)^3\)

\(=\dfrac{27}{64}\)

Probability that the target will hit at least once:

\(=1-\dfrac{27}{64}\)

\(=\dfrac{37}{64}\)


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