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Probability — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSProbability1 Mark
Question
If e1, e2, e3, e4 are the four elementary outcomes in a sample space and P(e1) = 0.1, P(e2) = 0.5, P (e3) = 0.1, then the probability of e4 is ___________.
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Answer

If e1, e2, e3, e4 are the four elementary outcomes in a sample space and P(e1) = 0.1, P(e2) = 0.5, P (e3) = 0.1, then the probability of e4 is 0.3
Solution:
$\text{P}(\text{E}_1)+\text{P}(\text{E}_2)+\text{P}(\text{E}_3)+\text{P}(\text{E}_4)=1$
$\Rightarrow0.1+0.5+0.1+\text{P}(\text{E}_4)=1$
$\Rightarrow0.7+\text{P}(\text{E}_4)=1$
$\therefore\ \text{P}(\text{E}_4)=0.3$

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