A company has 15 employees. Four are managers, six are engin…

A company has 15 employees. Four are managers, six are engineers, and five are interns. In how many ways can the company select a CEO, a CFO, and a COO, given that only a manager can be the CEO, and the other two positions can be filled by any employee, with no one holding more than one position

An article in The Journal of Data Science [“A Statistical An…

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 Total Gneiss 170 1685 Granite 2 28 Loch raven schist 443 3733 Mafic 14 363 Marble 29 309 Prettyboy schist 60 1403 Other schists 46 933 Serpentine 3 39   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(A Bc)