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Probability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsProbability1 Mark
Question
Compute $\text{P}(\text{A}|\text{B})\ \text{if}\ \text{P}(\text{B})=0.5\ \text{and}\ \text{P}(\text{A}\cap\text{B})=0.32$ 
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Answer

Given:    $\text{P}\left(\text{B}\right)=0.5,\ \text{P}\left(\text{A}\cap\text{B}\right)=0.32$

$\therefore\ \ \ \ \ \ \ \ \ \ \ \text{P}(\text{A}|\text{B})=\frac{\text{P}(\text{A}\cap\text{B})}{\text{P}(\text{B})}=\frac{0.32}{0.50}=\frac{32}{50}=0.64$

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