An article in The Journal of Data Science [“A Statistical Analysis of Well Failures in Baltimore County” (2009, Vol. 7, pp. 111-127)] provided the following table of well failures for different geological formation groups in Baltimore County. Geological Formation Group Wells Failed Wells Not Failed Wells Total Gneiss 170 1,515 1,685 Granite 2 26 28 Loch Raven Schist 443 3,290 3,733 Mafic 14 349 363 Marble 29 280 309 Prettyboy Schist 60 1,343 1,403 Other Schists 46 887 933 Serpentine 3 36 39 TOTAL 767 7,726 8,493 Let A denote the event that the geological formation has more than 1000 wells, and let B denote the event that a well failed. Determine the number of wells in each of the following events. Find the following, P( Bc\A). The probability that the well did not fail given that the geological formation has more than 1000 wells.
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20:
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