Mana LaTeX yordamida isbot: $x$ va $y$ ikkita tasodifiy butun son bo'lsin. $x$ ko'paytmasi $x$ va $y$ ikkalasi ham toq bo'lsa, u toq bo'ladi. $x$ juft bo'lish ehtimoli $\frac{1}{2}$ va $x$ juft bo'lish ehtimoli ham $\frac{1}{2}$. Xuddi shu asoslash bilan, $y$ juft bo'lish ehtimoli $\frac{1}{2}$ va $y$ juft bo'lish ehtimoli $\frac{1}{2}$. Shuning uchun $x$ va $y$ juft bo'lish ehtimoli quyidagicha berilgan: $\frac{1}{2} \frac \frac \1{2}
spam fails_task lang_mismatch pii not_appropriate hate_speech sexual_content quality toxicity humor helpfulness creativity violence