Aptitude Discussion

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 |

**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:

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

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