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# In a hotel with single rooms and double rooms, what is the probability

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Math Expert
Joined: 02 Sep 2009
Posts: 58427
In a hotel with single rooms and double rooms, what is the probability  [#permalink]

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15 Oct 2019, 02:25
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Difficulty:

55% (hard)

Question Stats:

48% (01:05) correct 52% (00:44) wrong based on 27 sessions

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In a hotel with single rooms and double rooms, what is the probability that a room chosen at random will be a double room painted red?

(1) 1/6 of the rooms in the hotel are painted red.
(2) 2/3 of the hotel's rooms are double rooms.

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Math Expert
Joined: 02 Sep 2009
Posts: 58427
Re: In a hotel with single rooms and double rooms, what is the probability  [#permalink]

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16 Oct 2019, 02:04
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BUMPING FOR DISCUSSION.
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Joined: 25 Jul 2018
Posts: 281
Re: In a hotel with single rooms and double rooms, what is the probability  [#permalink]

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16 Oct 2019, 14:23
Let 18 be the total number of Single and Double rooms in a hotel
—> (just a multiplication of 3 and 6)
$$\frac{Red_{double}}{18}$$ ???

(Statement1): (1/6)*18 = 3 ( total red rooms in a hotel, not just red double rooms)
Insufficient

(Statement2): (2/3)*18= 12 double rooms.
—> No info about how many red double rooms are.
Insufficient

Taken together 1&2, still tells us nothing about double rooms painted red.
Insufficient

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Re: In a hotel with single rooms and double rooms, what is the probability   [#permalink] 16 Oct 2019, 14:23
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