AP EAMCET · Maths · Probability
A special lottery is to be held to select a student who will live in the only deluxe room available in a hostel. 100 III year, 150 II year and 200 I year students have applied for the room. Each III year student's name is placed in the lottery 3 times, each II year student's name 2 times and I year student's name 1 time. The probability that a III year student gets the room is
- A \(\frac{1}{8}\)
- B \(\frac{2}{9}\)
- C \(\frac{2}{7}\)
- D \(\frac{3}{8}\)
Answer & Solution
Correct Answer
(D) \(\frac{3}{8}\)
Step-by-step Solution
Detailed explanation
Number of slip for III year student \(=3 \times 100=300\) Number of slip for II year student \(=2 \times 150=300\) Number of slip for I year student \(=1 \times 200=200\) Required probability \(=\frac{300}{300+300+200}=\frac{300}{800}=\frac{3}{8}\)
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