File:Bernoulli trial progression.svg
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Bernoulli trial progression.svg
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DescriptionBernoulli trial progression.svg |
English: Graphs of probability P of not observing independent events each of probability p after n trials vs n p for various p. The graphs are actually discrete points as n are integers but drawn as continuous for clarity. 3 examples are shown:
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Source | Own work |
Author | Cmglee |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 16:39, 29 August 2016 | 512 × 512 (101 KB) | wikimediacommons>Cmglee | Fix typo on 1 - P axis. |
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Short title | Bernoulli trial progression |
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Image title | Graphs of probability P of not observing independent events each of probability p after n trials vs n p for various p, by CMG Lee. Hover over a graph to highlight it. The graphs are actually discrete points as n are integers but drawn as continuous for clarity. 3 examples are shown. Blue arrow: Throwing a 6-sided die 6 times gives 33.5% chance that 6 never turns up; it can be observed that as n increases, the probability that a 1/n-chance event never appears after n tries rapidly converges to 1/e. Grey arrow: To get 50-50 chance of throwing a Yahtzee (5 cubic dice all showing the same number) requires 0.69 x 1296 ~ 898 throws. Green arrow: Drawing a card from a deck of playing cards without jokers 100 (19.2 x 52) times with replacement gives 85.7% chance of drawing the ace of spades at least once. |
Width | 100% |
Height | 100% |
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