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  2. Three prisoners problem - Wikipedia

    en.wikipedia.org/wiki/Three_Prisoners_problem

    It is now clear that if the warden answers B to A (⁠ 1 / 2 ⁠ of all cases), then ⁠ 1 / 3 ⁠ of the time C is pardoned and A will still be executed (case 4), and only ⁠ 1 / 6 ⁠ of the time A is pardoned (case 1). Hence C's chances are (⁠ 1 / 3 ⁠)/(⁠ 1 / 2 ⁠) = ⁠ 2 / 3 ⁠ and A's are (⁠ 1 / 6 ⁠)/(⁠ 1 / 2 ⁠) = ⁠ 1 / ...

  3. Perfect number - Wikipedia

    en.wikipedia.org/wiki/Perfect_number

    For instance, 6 has proper divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number. The next perfect number is 28, since 1 + 2 + 4 + 7 + 14 = 28. The first four perfect numbers are 6, 28, 496 and 8128. [1] The sum of proper divisors of a number is called its aliquot sum, so a perfect number is one that is equal to its aliquot sum.

  4. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    Fibonacci sequence. In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn . Many writers begin the sequence with 0 and 1, although some authors start it from 1 and 1 [1][2] and some (as ...

  5. Senary - Wikipedia

    en.wikipedia.org/wiki/Senary

    A senary numeral system (also known as base 6, heximal/seximal) has six as its base. It has been adopted independently by a small number of cultures. Like the decimal base 10, the base is a semiprime, though it is unique as the product of the only two consecutive numbers that are both prime (2 and 3).

  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. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    Unit fractions can also be expressed using negative exponents, as in 21, which represents 1/2, and 22, which represents 1/(2 2) or 1/4. A dyadic fraction is a common fraction in which the denominator is a power of two, e.g. ⁠ 1 / 8 ⁠ = ⁠ 1 / 2 3 ⁠. In Unicode, precomposed fraction characters are in the Number Forms block.

  8. Optical mark recognition - Wikipedia

    en.wikipedia.org/wiki/Optical_mark_recognition

    An optical answer sheet or bubble sheet is a special type of form used in multiple choice question examinations. OMR is used to detect answers. The Scantron Corporation creates many optical answer sheets, although certain uses require their own customized system. [citation needed] Optical answer sheets usually have a set of blank ovals or boxes ...

  9. Three utilities problem - Wikipedia

    en.wikipedia.org/wiki/Three_utilities_problem

    Two views of the utility graph, also known as the Thomsen graph or. The classical mathematical puzzle known as the three utilities problem or sometimes water, gas and electricity asks for non-crossing connections to be drawn between three houses and three utility companies in the plane. When posing it in the early 20th century, Henry Dudeney ...