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# A plain white cube is marked with an X on exactly two adjacent faces a

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Math Expert
Joined: 02 Sep 2009
Posts: 52971
A plain white cube is marked with an X on exactly two adjacent faces a  [#permalink]

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04 Dec 2017, 02:42
00:00

Difficulty:

25% (medium)

Question Stats:

84% (01:15) correct 16% (01:18) wrong based on 39 sessions

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A plain white cube is marked with an X on exactly two adjacent faces as shown above. If the cube is tossed on a flat surface and the cube lands so that an 'X' appears on the top face, what is the probability that the bottom face does not have an 'X' on it?

(A) 1/6
(B) 1/4
(C) 1/3
(D) 1/2
(E) 1

Attachment:

2017-12-04_1435_001.png [ 4.38 KiB | Viewed 604 times ]

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Joined: 26 Oct 2017
Posts: 27
Re: A plain white cube is marked with an X on exactly two adjacent faces a  [#permalink]

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04 Dec 2017, 03:28
Since the X is marked on adjacent surface-

The probability of x on opposite surface is 0

Now, the question ask about probability that bottom surface does not have X

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Re: A plain white cube is marked with an X on exactly two adjacent faces a  [#permalink]

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12 Jan 2018, 06:19
Bunuel wrote:

A plain white cube is marked with an X on exactly two adjacent faces as shown above. If the cube is tossed on a flat surface and the cube lands so that an 'X' appears on the top face, what is the probability that the bottom face does not have an 'X' on it?

(A) 1/6
(B) 1/4
(C) 1/3
(D) 1/2
(E) 1

Attachment:
2017-12-04_1435_001.png

Since the X’s are on adjacent sides, if the cube is rolled and ends with an X on the top, there is a 100% chance that the bottom face DOES NOT have an X on it.

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Re: A plain white cube is marked with an X on exactly two adjacent faces a   [#permalink] 12 Jan 2018, 06:19
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