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Question Number 176449 by peter frank last updated on 19/Sep/22

$$\mathrm{A}\mathrm{fair}\mathrm{dice}\mathrm{was}\mathrm{thrown}\mathrm{twice}\mathrm{and}$$$$\mathrm{it}\mathrm{landed}\mathrm{on}\mathrm{a}\mathrm{and}\mathrm{b}\mathrm{respectively}\mathrm{then}$$$$\mathrm{the}\mathrm{probability}\mathrm{that}\mathrm{cubic}\mathrm{equation}$$$${\mathrm{x}}^3-(3\mathrm{a}+1){\mathrm{x}}^2+(3\mathrm{a}+2\mathrm{b})\mathrm{x}-2\mathrm{b}=0$$$$\mathrm{has}\mathrm{three}\mathrm{distinct}\mathrm{root}$$$$$$

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