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Probability — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsProbability1 Mark
Question
If $e_1, e_2, e_3, e_4$ are the four elementary outcomes in a sample space and $P(e_1) = 0.1, P(e_2) = 0.5, P (e_3) = 0.1,$ then the probability of $e_4$ is ___________.
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Answer

If $e_1, e_2, e_3, e_4 $are the four elementary outcomes in a sample space and $P(e_1) = 0.1, P(e_2) = 0.5, P (e_3) = 0.1,$ then the probability of $e_4$ is $0.3$
$\text{P}(\text{E}_1)+\text{P}(\text{E}_2)+\text{P}(\text{E}_3)+\text{P}(\text{E}_4)=1$
$\Rightarrow0.1+0.5+0.1+\text{P}(\text{E}_4)=1$
$\Rightarrow0.7+\text{P}(\text{E}_4)=1$
$\therefore\ \text{P}(\text{E}_4)=0.3$

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