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Odds are ... (Posted on 2017-02-14) Difficulty: 3 of 5
You face an urn with 5555 cards in it, each has a non-zero integer written on it. Nothing is said about the distribution of those numbers. You are told to draw randomly a card, copy the number, return it back, shuffle and draw randomly a card, then write down the sum of both numbers, say S.

(i) Prove: The probability of S being an even number is higher than S being odd.
(ii) Is it true for any initial number of cards? Comment.

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.5000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: probabilitiesLillian Rosa2020-11-09 04:23:15
SolutionArgument (with math)Steve Herman2017-02-14 20:52:53
re: A related problem which resolves part 2.Ady TZIDON2017-02-14 17:37:38
re: Higher numbers before overflowxdog2017-02-14 16:24:49
Higher numbers before overflowCharlie2017-02-14 11:42:28
probabilitiesCharlie2017-02-14 11:34:26
Hints/TipsA related problem which resolves part 2.Brian Smith2017-02-14 11:27:25
re: Argument (no math)Charlie2017-02-14 10:03:01
Argument (no math)Steve Herman2017-02-14 08:34:30
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