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For example, in detecting a dissimilar coin in three weighings ( = ), the maximum number of coins that can be analyzed is = .Note that with weighings and coins, it is not always possible to determine the nature of the last coin (whether it is heavier or lighter than the rest), but only that the other coins are all the same, implying that the last coin is the ...
If A answers da, C is Random, and B is the opposite of A. One can elegantly obtain truthful answers in the course of solving the original problem as clarified by Boolos ("if the coin comes down heads, he speaks truly; if tails, falsely") without relying on any purportedly unstated assumptions, by making a further change to the question:
Warning: This article contains spoilers. 4 Pics 1 Word continues to delight and frustrate us. Occasionally, we'll rattle off four to five puzzles with little effort before getting stuck for ...
Frobenius coin problem with 2-pence and 5-pence coins visualised as graphs: Sloping lines denote graphs of 2x+5y=n where n is the total in pence, and x and y are the non-negative number of 2p and 5p coins, respectively. A point on a line gives a combination of 2p and 5p for its given total (green).
Word problem from the Līlāvatī (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
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Another approach to the Sleeping Beauty problem is to assert that the problem, as stated, is ambiguous. This view asserts that the thirder and halfer positions are both correct answers, but to different questions. [11] [12] [13] The key idea is that the question asked of Sleeping Beauty, "what is your credence that the coin came up heads", is ...
A coin that has been struck by hand, using dies and a hammer. [9] high relief A coin with the raised design high above the field. Coins struck in high relief often have problems with details not coming up sharp enough and dies having a shorter than usual lifespan.