Aptitude Discussion

Q. |
In a race where 12 cars are running, the chance that car $X$ will win is 1/6, that $Y$ will win is 1/10 and that $Z$ will win is 1/8. Assuming that a dead heat is impossible. Find the chance that one of them will win. |

✔ A. |
47/120 |

✖ B. |
1/480 |

✖ C. |
1/160 |

✖ D. |
1/240 |

**Solution:**

Option(**A**) is correct

Required probability $=P(X)+P(Y)+P(Z)$ (all the events are mutually exclusive

\(=\dfrac{1}{6}+\dfrac{1}{10}+\dfrac{1}{8}\)

\(=\dfrac{47}{120}\)