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  2. Coin flipping - Wikipedia

    en.wikipedia.org/wiki/Coin_flipping

    The three-way flip is 75% likely to work each time it is tried (if all coins are heads or all are tails, each of which occur 1/8 of the time due to the chances being 0.5 by 0.5 by 0.5, the flip is repeated until the results differ), and does not require that "heads" or "tails" be called.

  3. Fair coin - Wikipedia

    en.wikipedia.org/wiki/Fair_coin

    If a cheat has altered a coin to prefer one side over another (a biased coin), the coin can still be used for fair results by changing the game slightly. John von Neumann gave the following procedure: [4] Toss the coin twice. If the results match, start over, forgetting both results. If the results differ, use the first result, forgetting the ...

  4. Penney's game - Wikipedia

    en.wikipedia.org/wiki/Penney's_game

    Player A selects a sequence of heads and tails (of length 3 or larger), and shows this sequence to player B. Player B then selects another sequence of heads and tails of the same length. Subsequently, a fair coin is tossed until either player A's or player B's sequence appears as a consecutive subsequence of the coin toss outcomes. The player ...

  5. Collectively exhaustive events - Wikipedia

    en.wikipedia.org/wiki/Collectively_exhaustive_events

    One example of an event that is both collectively exhaustive and mutually exclusive is tossing a coin. The outcome must be either heads or tails, or p (heads or tails) = 1, so the outcomes are collectively exhaustive. When heads occurs, tails can't occur, or p (heads and tails) = 0, so the outcomes are also mutually exclusive.

  6. UEFA Euro 1968 final tournament - Wikipedia

    en.wikipedia.org/wiki/UEFA_Euro_1968_final...

    Any game in the final tournament that was undecided by the end of the regular 90 minutes was followed by thirty minutes of extra time (two 15-minute halves). If scores were still level, a coin toss would be used in all matches but the final.

  7. Musk's X ineffective against surge in US election ... - AOL

    www.aol.com/news/musks-x-ineffective-against...

    Secretaries of state from five U.S. states urged billionaire Musk in August to fix X's AI chatbot, saying it had spread misinformation related to the Nov. 5 election.

  8. Checking whether a coin is fair - Wikipedia

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

    Next, let r be the actual probability of obtaining heads in a single toss of the coin. This is the property of the coin which is being investigated. Using Bayes' theorem, the posterior probability density of r conditional on h and t is expressed as follows:

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