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Question Number 208812 by Adeyemi889 last updated on 23/Jun/24

Answered by mr W last updated on 23/Jun/24

(a)  p=((C_2 ^4 +C_2 ^(12) +C_2 ^8 )/C_2 ^(24) )=((6+66+28)/(276))=0.362  (b)  p=((4×12+4×8+12×8)/(276))=0.638  (c)  p=((4×12)/(276))=0.174

$$\left({a}\right) \\ $$$${p}=\frac{{C}_{\mathrm{2}} ^{\mathrm{4}} +{C}_{\mathrm{2}} ^{\mathrm{12}} +{C}_{\mathrm{2}} ^{\mathrm{8}} }{{C}_{\mathrm{2}} ^{\mathrm{24}} }=\frac{\mathrm{6}+\mathrm{66}+\mathrm{28}}{\mathrm{276}}=\mathrm{0}.\mathrm{362} \\ $$$$\left({b}\right) \\ $$$${p}=\frac{\mathrm{4}×\mathrm{12}+\mathrm{4}×\mathrm{8}+\mathrm{12}×\mathrm{8}}{\mathrm{276}}=\mathrm{0}.\mathrm{638} \\ $$$$\left({c}\right) \\ $$$${p}=\frac{\mathrm{4}×\mathrm{12}}{\mathrm{276}}=\mathrm{0}.\mathrm{174} \\ $$

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