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Probability — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSProbability1 Mark
Question
If $E$ and $E_2$ are independent evens, write the value of $\text{p}\Big(\big(\text{E}_1\cup\text{E}_2\big)\cap\Big(\overline{\text{E}}\cap\overline{\text{E}}_2\Big)\Big).$
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Answer

$\text{p}\Big(\big(\text{E}_1\cup\text{E}_2\big)\cap\Big(\overline{\text{E}}\cap\overline{\text{E}}_2\Big)\Big)$ $=\Big(\text{E}_1\cap\overline{\text{E}}_1\cap\overline{\text{E}}_2\Big)\cup\Big(\text{E}_1\cap\Big(\overline{\text{E}}_1\cap\overline{\text{E}}_2\Big)\Big)$ $=\text{P}\big(\phi\cup\phi\big)=0$ $=0$

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