perplexus.info :: Games : Flipper

Flipper (Posted on 2023-12-16)

The game Flipper is played with 2 coins which may have any integer denomination from 1 to 99, inclusive. The coins are tossed, and the value of the toss is the sum of the denominations of those coins that show heads. The higher sum wins. In case of a tie, the game is replayed.

Two people play this game. One person has coins valued 1 and X, the other person has 5 and X. It is found that the game is fair, that is, the two people win in exact proportion to the total value of their coins.
What is the value of X?

Submitted by K Sengupta

Rating: 5.0000 (2 votes)

Solution: (Hide)

The required value of X is 11.
For an explanation, refer to the Generalized solution submitted by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: No Subject	PatriciaAponte	2024-08-26 02:44:37
No Subject	K Sengupta	2023-12-20 20:31:52
re: Generalized Solution	K Sengupta	2023-12-20 20:31:43
No Subject	quintanbarnes	2023-12-18 12:15:21
No Subject	quintanbarnes	2023-12-18 12:13:58
Generalized Solution	Brian Smith	2023-12-17 10:34:13
Solution	Larry	2023-12-16 15:29:28

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