Aptitude Discussion

Q. |
When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3? |

✖ A. |
155 |

✖ B. |
620 |

✔ C. |
671 |

✖ D. |
625 |

**Solution:**

Option(**C**) is correct

When 4 dice are rolled simultaneously, there will be a total of $6^4 = 1,296$ outcomes.

The number of outcomes in which none of the 4 dice show 3 will be $5^4= 625$ outcomes.

Therefore, the number of outcomes in which at least one die will show 3:

$= 1296 – 625$

$= 671$