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In probability and statistics, an urn problem is an idealized mental exercise in which some objects of real interest (such as atoms, people, cars, etc.) are represented as colored balls in an urn or other container. One pretends to remove one or more balls from the urn; the goal is to determine the probability of drawing one color or another ...
What is the probability of winning the car by switching given the player has picked door 1 and the host has opened door 3? The answer to the first question is 2 / 3 , as is shown correctly by the "simple" solutions. But the answer to the second question is now different: the conditional probability the car is behind door 1 or door 2 ...
Print/export Download as PDF; Printable version; In other projects ... move to sidebar hide. Help. Pages in category "Probability problems" The following 31 pages are ...
[4] [5] [6] Muddy children puzzle is a variant of the well known wise men or cheating wives/husbands puzzles. [7] Hat puzzles are induction puzzle variations that date back to as early as 1961. [8] In many variations, hat puzzles are described in the context of prisoners. [9] [10] In other cases, hat puzzles are described in the context of wise ...
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 ...
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 details about the boy child are given (for instance: born on January 1), the chance that the ...
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