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  2. Category:Probability problems - Wikipedia

    en.wikipedia.org/wiki/Category:Probability_problems

    Pages in category "Probability problems" The following 31 pages are in this category, out of 31 total. This list may not reflect recent changes. B. Balls into bins ...

  3. Lists of mathematics topics - Wikipedia

    en.wikipedia.org/wiki/Lists_of_mathematics_topics

    Probability theory is the formalization and study of the mathematics of uncertain events or knowledge. The related field of mathematical statistics develops statistical theory with mathematics. Statistics , the science concerned with collecting and analyzing data, is an autonomous discipline (and not a subdiscipline of applied mathematics ).

  4. Monty Hall problem - Wikipedia

    en.wikipedia.org/wiki/Monty_Hall_problem

    [50] [13] [49] The conditional probability of winning by switching is ⁠ 1/3 / 1/3 + 1/6 ⁠, which is ⁠ 2 / 3 ⁠. [2] The conditional probability table below shows how 300 cases, in all of which the player initially chooses door 1, would be split up, on average, according to the location of the car and the choice of door to open by the host.

  5. Probability - Wikipedia

    en.wikipedia.org/wiki/Probability

    Probability is the branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an event is to occur. [note 1] [1] [2] This number is often expressed as a percentage (%), ranging from 0% to ...

  6. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Thurston's 24 questions [4] [5] 24-William Thurston: 1982 Smale's problems: 18: 14: Stephen Smale: 1998 Millennium Prize Problems: 7: 6 [6] Clay Mathematics Institute: 2000 Simon problems: 15 <12 [7] [8] Barry Simon: 2000 Unsolved Problems on Mathematics for the 21st Century [9] 22-Jair Minoro Abe, Shotaro Tanaka: 2001 DARPA's math challenges ...

  7. Boy or girl paradox - Wikipedia

    en.wikipedia.org/wiki/Boy_or_Girl_paradox

    If ε is now set to ⁠ 1 / 7 ⁠, the probability becomes ⁠ 13 / 27 ⁠, or about 0.48. In fact, as ε approaches 0, the total probability goes to ⁠ 1 / 2 ⁠, which is the answer expected when one child is sampled (e.g. the oldest child is a boy) and is thus removed from the pool of possible children. In other words, as more and more ...

  8. Probability theory - Wikipedia

    en.wikipedia.org/wiki/Probability_theory

    That is, the probability function f(x) lies between zero and one for every value of x in the sample space Ω, and the sum of f(x) over all values x in the sample space Ω is equal to 1. An event is defined as any subset of the sample space . The probability of the event is defined as

  9. Coupon collector's problem - Wikipedia

    en.wikipedia.org/wiki/Coupon_collector's_problem

    In probability theory, the coupon collector's problem refers to mathematical analysis of "collect all coupons and win" contests. It asks the following question: if each box of a given product (e.g., breakfast cereals) contains a coupon, and there are n different types of coupons, what is the probability that more than t boxes need to be bought ...

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