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  2. Checking whether a coin is fair - Wikipedia

    en.wikipedia.org/wiki/Checking_whether_a_coin_is...

    This article describes experimental procedures for determining whether a coin is fair or unfair. There are many statistical methods for analyzing such an experimental procedure. This article illustrates two of them. Both methods prescribe an experiment (or trial) in which the coin is tossed many times and the result of each toss is recorded.

  3. Gambler's fallacy - Wikipedia

    en.wikipedia.org/wiki/Gambler's_fallacy

    If a fair coin is flipped 21 times, the probability of 21 heads is 1 in 2,097,152. The probability of flipping a head after having already flipped 20 heads in a row is ⁠ 1 / 2 ⁠. Assuming a fair coin: The probability of 20 heads, then 1 tail is 0.5 20 × 0.5 = 0.5 21; The probability of 20 heads, then 1 head is 0.5 20 × 0.5 = 0.5 21

  4. Fair coin - Wikipedia

    en.wikipedia.org/wiki/Fair_coin

    A fair coin, when tossed, should have an equal chance of landing either side up. In probability theory and statistics, a sequence of independent Bernoulli trials with probability 1/2 of success on each trial is metaphorically called a fair coin. One for which the probability is not 1/2 is called a biased or unfair coin.

  5. 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)

  6. What happens to the coins tossed into Rome's Trevi Fountain?

    www.aol.com/news/happens-coins-tossed-romes...

    In 2022 Caritas collected 1.4 million euros ($1.52 million) from the fountain and it expects to have gathered even more in 2023. Rome is one of the world's most visited cities with 21 million ...

  7. Bernoulli process - Wikipedia

    en.wikipedia.org/wiki/Bernoulli_process

    A Bernoulli process is a finite or infinite sequence of independent random variables X 1, X 2, X 3, ..., such that for each i, the value of X i is either 0 or 1; for all values of , the probability p that X i = 1 is the same. In other words, a Bernoulli process is a sequence of independent identically distributed Bernoulli trials.

  8. 13 Best Places To Turn Coins Into Cash for Free - AOL

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

    New Jersey’s Manasquan Bank has coin machines at many, if not all, branches. Bank clients can bring their coins in for free. Non-clients pay a 15% redemption fee.

  9. Social Security Is Set to Run Out of Money in 2034. Here's ...

    www.aol.com/social-security-set-run-money...

    Social Security has two other funding sources: benefit taxes on some seniors and interest income earned on money in the program's trust funds. But both of those are in danger right now. The ...

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