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Category: Probability and Statistics

o-hans-The-probability-that-James-speaks-the-truth-is-60-and-for-John-this-probability-is-30-What-is-the-probability-that-they-contradict-each-other-

Question Number 108448 by bobhans last updated on 17/Aug/20 $$\:\:\frac{\beta{o}\beta{hans}}{\nparallel} \\ $$$${The}\:{probability}\:{that}\:{James}\:{speaks}\:{the}\:{truth}\:{is}\:\mathrm{60}\:\% \\ $$$${and}\:{for}\:{John}\:{this}\:{probability}\:{is}\:\mathrm{30}\:\%. \\ $$$${What}\:{is}\:{the}\:{probability}\:{that}\:{they}\:{contradict}\: \\ $$$${each}\:{other}?\: \\ $$ Terms of Service Privacy Policy…

There-are-20-white-and-10-black-balls-in-the-box-In-turn-draw-4-balls-and-each-draw-ball-is-returned-to-the-box-before-the-next-ball-is-drawn-and-the-balls-in-the-box-are-mixed-What-is-the-probabilit

Question Number 108377 by 1549442205PVT last updated on 16/Aug/20 $$\mathrm{There}\:\mathrm{are}\:\mathrm{20}\:\mathrm{white}\:\mathrm{and}\:\mathrm{10}\:\mathrm{black}\:\mathrm{balls} \\ $$$$\mathrm{in}\:\mathrm{the}\:\mathrm{box}.\mathrm{In}\:\mathrm{turn}\:\mathrm{draw}\:\mathrm{4}\:\mathrm{balls}\:\mathrm{and} \\ $$$$\mathrm{each}\:\mathrm{draw}\:\mathrm{ball}\:\mathrm{is}\:\mathrm{returned}\:\mathrm{to}\:\mathrm{the}\:\mathrm{box} \\ $$$$\mathrm{before}\:\mathrm{the}\:\mathrm{next}\:\mathrm{ball}\:\mathrm{is}\:\mathrm{drawn}\:\mathrm{and}\:\mathrm{the}\: \\ $$$$\mathrm{balls}\:\mathrm{in}\:\mathrm{the}\:\mathrm{box}\:\mathrm{are}\:\mathrm{mixed}.\mathrm{What}\:\mathrm{is}\:\mathrm{the} \\ $$$$\mathrm{probability}\:\mathrm{that}\:\mathrm{out}\:\mathrm{of}\:\mathrm{four}\:\mathrm{balls} \\ $$$$\mathrm{taken}\:\mathrm{out}\:\mathrm{there}\:\mathrm{will}\:\mathrm{be}\:\mathrm{two}\:\mathrm{white}\:\mathrm{balls}? \\ $$ Answered…