Hotel rooms allocated without replacement

Hotel rooms allocated without replacement

Secondary 2
TGM Original Questions

Hotel rooms are numbered 1 to 30 and allocated without replacement.

  1. Find the probability that the first guest receives a room number
    1. not more than 18,
    2. prime.
  2. Given that the first guest received a prime-numbered room, find the probability that the second guest also receives a prime-numbered room.

Solution:

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Answer:(a)(i) \(3/5\); (ii) \(1/3\); (b) \(9/29\).

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