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Question Number 42718 by mondodotto@gmail.com last updated on 01/Sep/18

if p(A)=0.25 and p(B)=0.8  then show that 0.05≤p(A∩B)≤0.25

$$\mathrm{if}\:\mathrm{p}\left(\mathrm{A}\right)=\mathrm{0}.\mathrm{25}\:\mathrm{and}\:\mathrm{p}\left(\mathrm{B}\right)=\mathrm{0}.\mathrm{8} \\ $$$$\mathrm{then}\:\mathrm{show}\:\mathrm{that}\:\mathrm{0}.\mathrm{05}\leqslant\mathrm{p}\left(\mathrm{A}\cap\mathrm{B}\right)\leqslant\mathrm{0}.\mathrm{25} \\ $$

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