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  2. Lottery mathematics - Wikipedia

    en.wikipedia.org/wiki/Lottery_mathematics

    In a typical 6/49 game, each player chooses six distinct numbers from a range of 1–49. If the six numbers on a ticket match the numbers drawn by the lottery, the ticket holder is a jackpot winner— regardless of the order of the numbers. The probability of this happening is 1 in 13,983,816. The chance of winning can be demonstrated as ...

  3. American Mathematics Competitions - Wikipedia

    en.wikipedia.org/wiki/American_Mathematics...

    The AMC 8 is a 25 multiple-choice question, 40-minute competition designed for middle schoolers. No problems require the use of a calculator, and their use has been banned since 2008. The competition was previously held on a Thursday in November. However, after 2022, the competition has been held in January.

  4. Birthday problem - Wikipedia

    en.wikipedia.org/wiki/Birthday_problem

    In probability theory, the birthday problem asks for the probability that, in a set of n randomly chosen people, at least two will share a birthday. The birthday paradox refers to the counterintuitive fact that only 23 people are needed for that probability to exceed 50%. The birthday paradox is a veridical paradox: it seems wrong at first ...

  5. Percentage - Wikipedia

    en.wikipedia.org/wiki/Percentage

    To calculate a percentage of a percentage, convert both percentages to fractions of 100, or to decimals, and multiply them. For example, 50% of 40% is: 50 / 100 × 40 / 100 = 0.50 × 0.40 = 0.20 = 20 / 100 = 20%. It is not correct to divide by 100 and use the percent sign at the same time; it would literally imply division by 10,000.

  6. Monty Hall problem - Wikipedia

    en.wikipedia.org/wiki/Monty_Hall_problem

    Monty Hall problem. In search of a new car, the player chooses a door, say 1. The game host then opens one of the other doors, say 3, to reveal a goat and offers to let the player switch from door 1 to door 2. The Monty Hall problem is a brain teaser, in the form of a probability puzzle, based nominally on the American television game show Let ...

  7. Microsoft Math Solver - Wikipedia

    en.wikipedia.org/wiki/Microsoft_Math_Solver

    Microsoft Math Solver (formerly Microsoft Mathematics and Microsoft Math) is an entry-level educational app that solves math and science problems. Developed and maintained by Microsoft, it is primarily targeted at students as a learning tool. Until 2015, it ran on Microsoft Windows. Since then, it has been developed for the web platform and ...

  8. Secretary problem - Wikipedia

    en.wikipedia.org/wiki/Secretary_problem

    Secretary problem. Graphs of probabilities of getting the best candidate (red circles) from n applications, and k / n (blue crosses) where k is the sample size. The secretary problem demonstrates a scenario involving optimal stopping theory [1] [2] that is studied extensively in the fields of applied probability, statistics, and decision theory.

  9. Duty cycle - Wikipedia

    en.wikipedia.org/wiki/Duty_cycle

    Duty cycle. The duty cycle is defined as the ratio between the pulse duration, or pulse width ( ) and the period ( ) of a rectangular waveform. Spectrum in relation to duty cycle. A duty cycle or power cycle is the fraction of one period in which a signal or system is active. [1] [2] [3] Duty cycle is commonly expressed as a percentage or a ratio.

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