1374: Urn - Revision history

SilverTheTerribleMathematician: /* Explanation */

2022-12-15T19:07:17Z

‎Explanation

JLZ0kTC5 at 22:13, 2 November 2022

2022-11-02T22:13:58Z

Jacky720: rv

2022-05-04T21:31:35Z

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Ex Kay Cee Dee at 21:31, 4 May 2022

2022-05-04T21:31:31Z

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Jacky720: rv

2022-05-04T21:12:53Z

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Ex Kay Cee Dee at 21:12, 4 May 2022

2022-05-04T21:12:52Z

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Jacky720: rv

2022-05-04T20:56:11Z

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Ex Kay Cee Dee at 20:46, 4 May 2022

2022-05-04T20:46:12Z

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Davidy22: Reverted edits by X. K. C. D. (talk) to last revision by 172.69.42.121

2022-05-04T01:42:41Z

Reverted edits by X. K. C. D. (talk) to last revision by 172.69.42.121

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X. K. C. D. at 01:32, 4 May 2022

2022-05-04T01:32:23Z

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@@ Line 18: / Line 18: @@
 The distinction between repeated drawing with and without replacement is used in most presentations of elementary probability because it illustrates a subtle but important theoretical distinction: if the balls are replaced, one at a time, before drawing the next, the number of balls of a certain color has the {{w|binomial distribution}}, but if the balls are not replaced, so that the same ball cannot be drawn twice, you instead get the {{w|hypergeometric distribution}}.
-There are myriad reasons why Megan would want to draw with replacement, the most simple of which being that she has nowhere to put ashes other than in their designated urn. Ashes by their nature need a container, or they will make a mess; cremated remains in particular come with the additional requirement that the container be respectful to the deceased.
+There are a myriad of reasons why Megan would want to draw with replacement, the most simple of which being that she has nowhere to put ashes other than in their designated urn. Ashes by their nature need a container, or they will make a mess; cremated remains in particular come with the additional requirement that the container be respectful to the deceased.
 ==Transcript==

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 [[Megan]], when asked to imagine drawing balls from an urn, imagines a cremation urn containing not only balls, but also human remains. She may be referring to a real grandfather who has been cremated, or is simply improvising a joke at Cueball's expense.
-The title text refers to two distinct scenarios in the coloured ball experiment: The balls may be replaced between each drawing, or not. In the former case, each draw is independent of the previous, in the latter the chances of picking a particular (remaining) ball the next time have increased. Megan (or rather [[Randall]] if it is he who speaks in the title text) would prefer to put the ashes back into the urn. She might also want to have her grandfather back, and be playing with the word "replacement".
+The title text refers to two distinct scenarios in the colored ball experiment: The balls may be replaced between each drawing, or not. In the former case, each draw is independent of the previous, in the latter the chances of picking a particular (remaining) ball the next time have increased. Megan (or rather [[Randall]] if it is he who speaks in the title text) would prefer to put the ashes back into the urn. She might also want to have her grandfather back, and be playing with the word "replacement".
-The distinction between repeated drawing with and without replacement is used in most presentations of elementary probability because it illustrates a subtle but important theoretical distinction: if the balls are replaced, one at a time, before drawing the next, the number of balls of a certain colour has the {{w|binomial distribution}}, but if the balls are not replaced, so that the same ball cannot be drawn twice, you instead get the {{w|hypergeometric distribution}}.
+The distinction between repeated drawing with and without replacement is used in most presentations of elementary probability because it illustrates a subtle but important theoretical distinction: if the balls are replaced, one at a time, before drawing the next, the number of balls of a certain color has the {{w|binomial distribution}}, but if the balls are not replaced, so that the same ball cannot be drawn twice, you instead get the {{w|hypergeometric distribution}}.
 There are myriad reasons why Megan would want to draw with replacement, the most simple of which being that she has nowhere to put ashes other than in their designated urn. Ashes by their nature need a container, or they will make a mess; cremated remains in particular come with the additional requirement that the container be respectful to the deceased.