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First edition. Fat Chance: Probability from 0 to 1 is an introductory undergraduate-level textbook on probability theory, centered on the metaphor of games of chance. [1] It was written by Benedict Gross, Joe Harris, and Emily Riehl, based on a course for non-mathematicians taught to Harvard University undergraduates, and published by the Cambridge University Press in 2019.
The Harvard Mark I, or IBM Automatic Sequence Controlled Calculator (ASCC), was one of the earliest general-purpose electromechanical computers used in the war effort during the last part of World War II. One of the first programs to run on the Mark I was initiated on 29 March 1944 [1] by John von Neumann.
This computer was originally called the ASCC (Automatic Sequence Controlled Calculator) and later renamed Harvard Mark I. With engineering, construction, and funding from IBM, the machine was completed and installed at Harvard in February 1944. [5] Richard Milton Bloch, Robert Campbell and Grace Hopper joined the project later as programmers. [6]
The law of total probability is [1] a theorem that states, in its discrete case, if {: =,,, …} is a finite or countably infinite set of mutually exclusive and collectively exhaustive events, then for any event () = ()
1 in 1 744 278: Every 4776 years (once in recorded history) μ ± 5.5σ: 0.999 999 962 020 875: 3.798 × 10 −8 = 37.98 ppb: 1 in 26 330 254: Every 72 090 years (thrice in history of modern humankind) μ ± 6σ: 0.999 999 998 026 825: 1.973 × 10 −9 = 1.973 ppb: 1 in 506 797 346: Every 1.38 million years (twice in history of humankind) μ ± ...
Table 1: Kent's "words of estimative probability" [2] Certain 100% Give or take 0% The general area of possibility: Almost certain 93% Give or take about 6% Probable 75% Give or take about 12% Chances about even 50% Give or take about 10% Probably not 30% Give or take about 10% Almost certainly not 7% Give or take about 5% Impossible 0 Give or ...
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Math 55 is a two-semester freshman undergraduate mathematics course at Harvard University founded by Lynn Loomis and Shlomo Sternberg.The official titles of the course are Studies in Algebra and Group Theory (Math 55a) [1] and Studies in Real and Complex Analysis (Math 55b). [2]