Ha, LaTeX yordamida isbot: $x$ va $y$ ikkita tasodifiy butun son bo'lsin. $x \cdot y$ ning natijasi, agar $x$ va $y$ ikkalasi ham juft yoki $x$ va $y$ ikkalasi ham toq bo'lsa, teng bo'ladi. Teng va toq sonlar teng bo'lganligi sababli, tasodifiy butun son juft bo'lish ehtimoli $\frac{1}{2}$. Shuning uchun $x$ va $y$ juft bo'lish ehtimoli $\left{\frac{1}{2}\right) ^2 = $\frac{1}{4}$. Shunga o'xshab, $x$ va $y$ juft bo'lish ehtimoli ham $\frac{1}{4}$. Shuning uchun $
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