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Question Number 186547 by ali009 last updated on 05/Feb/23
$${p}\left({a}\:{or}\:{b}\right)=\mathrm{0}.\mathrm{7}\:{and}\:{p}\left({a}\right)=\mathrm{0}.\mathrm{4} \\ $$$${find}\:{p}\left({b}\right)\:{if}\:{a}\:{and}\:{b}\:{are}\:{independent} \\ $$
Answered by som(math1967) last updated on 06/Feb/23
$${p}\left({aorb}\right)={p}\left({a}\right)+{p}\left({b}\right)−{p}\left({a}\:\:{and}\:{b}\right) \\ $$$$.\mathrm{7}=.\mathrm{4}+{p}\left({b}\right)−.\mathrm{4}{p}\left({b}\right) \\ $$$$\Rightarrow.\mathrm{6}{p}\left({b}\right)=.\mathrm{3} \\ $$$${p}\left({b}\right)=\mathrm{0}.\mathrm{5} \\ $$