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Probability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsProbability1 Mark
Question
If $\text{P}(\text{A})=\frac{3}{5}\text{and}\ \text{P}(\text{B})=\frac{1}{5}$, find $\text{P}(\text{A}\cap\text{B})$ if A and B are independent events.
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Answer

It is given that $\text{P}(\text{A})=\frac{3}{5}\ \text{and}\ \text{P}(\text{B})=\frac{1}{5}$A and B are independent events. Therefore,
$\text{P}(\text{A}\cap\text{B})=\text{P}(\text{A}).\text{P}(\text{B})=\frac{3}{5}.\frac{1}{5}=\frac{3}{25}$

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