Roll-a-fair-die-twice-and-define-A-to-be-event-that-the-sum-of-the-scores-showing-up-is-greater-than-7-B-be-the-event-that-the-sum-of-the-scores-showing-up-is-a-multiple-of-3-and-C-be-the-event-that-

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Question Number 150030 by jlewis last updated on 08/Aug/21

$$\mathrm{Roll}\mathrm{a}\mathrm{fair}\mathrm{die}\mathrm{twice}\mathrm{and}\mathrm{define}\mathrm{A}\mathrm{to}\mathrm{be}$$$$\mathrm{event}\mathrm{that}\mathrm{the}\mathrm{sum}\mathrm{of}\mathrm{the}\mathrm{scores}\mathrm{showing}$$$$\mathrm{up}\mathrm{is}\mathrm{greater}\mathrm{than}7,\mathrm{B}\mathrm{be}\mathrm{the}\mathrm{event}\mathrm{that}$$$$\mathrm{the}\mathrm{sum}\mathrm{of}\mathrm{the}\mathrm{scores}\mathrm{showing}\mathrm{up}\mathrm{is}\mathrm{a}$$$$\mathrm{multiple}\mathrm{of}3\mathrm{and}\mathrm{C}\mathrm{be}\mathrm{the}\mathrm{event}\mathrm{that}$$$$\mathrm{the}\mathrm{sum}\mathrm{of}\mathrm{the}\mathrm{scores}\mathrm{showing}\mathrm{up}\mathrm{is}\mathrm{a}$$$$\mathrm{prime}\mathrm{number}.\mathrm{Which}\mathrm{of}\mathrm{the}\mathrm{events}$$$$\mathrm{A},\mathrm{B}\mathrm{and}\mathrm{C}\mathrm{are}\mathrm{independent}\mathrm{event}?$$$$\mathrm{are}\mathrm{the}3\mathrm{events}\mathrm{jointly}\mathrm{independent}?$$$$$$

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