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Welcome to the PuzzleUp; a problem and games site where each week a different problem is put accross for you to think on and try to solve.

The fundamental aim of this site is to support and raise persons of the information age who have highly developed capabilities of thinking, perceiving and problem solving and who are able to interpret different cultures and contribute to contemporary civilisation.

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Hoping that wisdom, peace and love will master the future of the world we live in.

Emrehan Halici



No: 04       November 25, 2020


CANDIES

CANDIES

There are two boxes each having 10 candies. You will randomly (with equal probability) select a box and eat one candy from that box. Then the places of the boxes will be changed randomly. You will continue this process until you eat the last candy in a box. When you stop what is the probability that the other box has exactly 5 candies?

Enter your answer as a simplified fraction. Example:12/23

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Popularity: 57.1 %     Difficulty: 25.0 %    

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[ Score Table ]
1. POOL OF PROBLEMS 83.3
2. TETRAHEDRON TRAVEL 62.5
3. TIME DIFFERENCES 58.3
4. CANDIES 57.1
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[ All Puzzles ]
Comments Add a Comment
   [CANDIES]

Hi Puzzleup folks,
Is it not possible to remove the sentence: “Then the places of the boxes will be changed randomly.” ? Since you are already choosing a box randomly, the locations of the boxes should not matter, right?
Thanks,
Clive Dawson
Austin, Texas, USA

clivedaw - November 25, 2020 - 11:21

You are right. But in order to avoid possible ambiguities that sentence has been added to the problem text.

PuzzleUp Team [Administrator] - November 25, 2020 - 22:20
   [TIME DIFFERENCES] well-prepared question

According to question, it is said that numerical. it is not asked the difference between years or months.By the way it is a perfect problem. Thanks Emrehan Halıcı

wormhole - November 12, 2020 - 14:00
   [TIME DIFFERENCES] Ambiguity In Question

There is some ambiguity as to how to interpret date string. For example 2806531749 -- as 28.06.1953 17:49 or 28.06.2053 17:49 ?

bolucpap - November 12, 2020 - 09:31
   [TIME DIFFERENCES] leading 0

is january 8th 1989 23:46 written as 0108892346 or 108892346?

angel - November 11, 2020 - 21:51
   TIME DIFFERENCES

I guess "numerical difference" means the difference between the two 10-digit numbers?
(Because there is no maximum for time difference.)

SOLFAREMI - November 11, 2020 - 11:52
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