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  2. Coin rotation paradox - Wikipedia

    en.wikipedia.org/wiki/Coin_rotation_paradox

    The outer coin makes two rotations rolling once around the inner coin. The path of a single point on the edge of the moving coin is a cardioid.. The coin rotation paradox is the counter-intuitive math problem that, when one coin is rolled around the rim of another coin of equal size, the moving coin completes not one but two full rotations after going all the way around the stationary coin ...

  3. Change-making problem - Wikipedia

    en.wikipedia.org/wiki/Change-making_problem

    Coin values can be modeled by a set of n distinct positive integer values (whole numbers), arranged in increasing order as w 1 through w n.The problem is: given an amount W, also a positive integer, to find a set of non-negative (positive or zero) integers {x 1, x 2, ..., x n}, with each x j representing how often the coin with value w j is used, which minimize the total number of coins f(W)

  4. Are banks the best place to cash in your coins? - AOL

    www.aol.com/finance/banks-best-place-cash-coins...

    Most banks offer free coin exchange services to account holders, though you may need to roll coins yourself. Self-service coin-counting machines are more commonly found at local banks and credit ...

  5. 13 Best Places To Turn Coins Into Cash for Free - AOL

    www.aol.com/where-cash-coins-free-214605501.html

    If rolling coins doesn’t appeal to you, you’ll have to cash in your change at a coin-counting machine. To do it for free, you’ll likely need to go to a bank where you have an account because ...

  6. Coin flipping - Wikipedia

    en.wikipedia.org/wiki/Coin_flipping

    Coin flipping, coin tossing, or heads or tails is the practice of throwing a coin in the air and checking which side is showing when it lands, in order to randomly choose between two alternatives. It is a form of sortition which inherently has two possible outcomes.

  7. How to exchange coins for cash - AOL

    www.aol.com/finance/exchange-coins-cash...

    Rolling coins is a cost-effective way to make exchanging or spending them much easier. Many banks give out coin wrappers for free, and cheap packs can be found in various sizes at dollar and ...

  8. Coin problem - Wikipedia

    en.wikipedia.org/wiki/Coin_problem

    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).

  9. Bertrand's box paradox - Wikipedia

    en.wikipedia.org/wiki/Bertrand's_box_paradox

    Bertrand's box paradox: the three equally probable outcomes after the first gold coin draw. The probability of drawing another gold coin from the same box is 0 in (a), and 1 in (b) and (c). Thus, the overall probability of drawing a gold coin in the second draw is ⁠ 0 / 3 ⁠ + ⁠ 1 / 3 ⁠ + ⁠ 1 / 3 ⁠ = ⁠ 2 / 3 ⁠.