# 辛普森悖论0719

 $$A$$ $$B$$ $$win$$ $$\#1$$ $$\frac{1}{1}=100\%$$ $$\frac{3}{4}=75\%$$ $$A$$ $$\#2$$ $$\frac{2}{5}=40\%$$ $$\frac{1}{3}=33\%$$ $$A$$ $$\#1 \cup \#2$$ $$\frac{3}{6}=50\%$$ $$\frac{4}{7}=57\%$$ $$B$$

 $$A$$ $$B$$ $$C$$ $$win$$ $$\#1$$ $$\frac{6}{7}=85,71\%$$ $$\frac{12}{15}=80,00\%$$ $$\frac{22}{37}=59,46\%$$ $$A$$ $$\#2$$ $$\frac{95}{167}=56,89\%$$ $$\frac{48}{88}=54,55\%$$ $$\frac{38}{67}=56,72\%$$ $$A$$ $$\#3$$ $$\frac{48}{144}=33,33\%$$ $$\frac{16}{50}=32,00\%$$ $$\frac{2}{20}=10,00\%$$ $$A$$ $$\#1 \cup \#2$$ $$\frac{101}{174}=58,05\%$$ $$\frac{60}{103}=58,25\%$$ $$\frac{60}{104}=57,69\%$$ $$B$$ $$\#1 \cup \#3$$ $$\frac{54}{151}=35,76\%$$ $$\frac{28}{65}=43,08\%$$ $$\frac{24}{57}=42,11\%$$ $$B$$ $$\#2 \cup \#3$$ $$\frac{143}{311}=45,98\%$$ $$\frac{64}{138}=46,38\%$$ $$\frac{40}{87}=45,98\%$$ $$B$$ $$\#1 \cup \#2\cup \#3$$ $$\frac{149}{318}=46,86\%$$ $$\frac{76}{153}=49,67\%$$ $$\frac{62}{124}=50,00\%$$ $$C$$