probability-question-let-T-V-be-the-volume-of-tetrahedron-T-that-is-in-a-cone-C-with-volume-C-V-find-P-T-V-1-8-C-V-

Question Number 153668 by talminator2856791 last updated on 09/Sep/21

$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\mathrm{probability}\:\mathrm{question}} \\ $$$$\: \\ $$$$\:\mathrm{let}\:{T}_{{V}\:} \:\mathrm{be}\:\mathrm{the}\:\mathrm{volume}\:\mathrm{of}\:\mathrm{tetrahedron}\:{T}\:\:\: \\ $$$$\:\mathrm{that}\:\mathrm{is}\:\mathrm{in}\:\mathrm{a}\:\mathrm{cone}\:{C}\:\mathrm{with}\:\mathrm{volume}\:{C}_{{V}} \\ $$$$\:\mathrm{find}\:\mathrm{P}\left({T}_{{V}} \:\:\geqslant\:\frac{\mathrm{1}}{\mathrm{8}}\:{C}_{{V}} \right) \\ $$$$\: \\ $$

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