Aptitude Discussion

Q. |
A special lottery is to be held to select a student who will live in the only deluxe room in a hostel. There are 100 Year-III, 150 Year-II and 200 Year-I students who applied. Each Year-III's name is placed in the lottery 3 times; each Year-II's name, 2 times and Year-I's name, 1 time. What is the probability that a Year-III's name will be chosen? |

✖ A. |
1/8 |

✖ B. |
2/9 |

✖ C. |
2/7 |

✔ D. |
3/8 |

**Solution:**

Option(**D**) is correct

Total names in the lottery,

$= 3×100 + 2×150 + 200$

$= 800$

Number of Year-III's names,

$= 3×100$

$= 300$

Required probability,

$= \dfrac{300}{800}$

$= \textbf{3/8}$

**???? ???**

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we have to calculate number of year-III RATHER YEAR-II