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Display information for equation id:math.2382.25 on revision:2382
* Page found: Wahrscheinlichkeitsbegriff (eq math.2382.25)
(force rerendering)Occurrences on the following pages:
Hash: dd9ce3b40d70f25efa7920865d5aab82
TeX (original user input):
\begin{align}
& P\left( {{A}_{1}}\cup {{A}_{2}} \right)+P({{A}_{1}}\cap {{A}_{2}})=P({{A}_{1}})+P({{A}_{2}}) \\
& P({{A}_{1}}\cap {{A}_{2}})\ge 0 \\
& \Rightarrow P\left( {{A}_{1}}\cup {{A}_{2}} \right)\le P({{A}_{1}})+P({{A}_{2}}) \\
\end{align}
TeX (checked):
{\begin{aligned}&P\left({{A}_{1}}\cup {{A}_{2}}\right)+P({{A}_{1}}\cap {{A}_{2}})=P({{A}_{1}})+P({{A}_{2}})\\&P({{A}_{1}}\cap {{A}_{2}})\geq 0\\&\Rightarrow P\left({{A}_{1}}\cup {{A}_{2}}\right)\leq P({{A}_{1}})+P({{A}_{2}})\\\end{aligned}}
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MathML (0 B / 8 B) :
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MathML (2.105 KB / 385 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mi>P</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>∪</mo><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><mi>P</mi><mo stretchy="false">(</mo><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>∩</mo><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">)</mo><mo>=</mo><mi>P</mi><mo stretchy="false">(</mo><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">)</mo><mo>+</mo><mi>P</mi><mo stretchy="false">(</mo><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd><mtd><mi>P</mi><mo stretchy="false">(</mo><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>∩</mo><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">)</mo><mo>≥</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mi>P</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>∪</mo><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>≤</mo><mi>P</mi><mo stretchy="false">(</mo><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">)</mo><mo>+</mo><mi>P</mi><mo stretchy="false">(</mo><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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