Pls solve this ASAP


if probability of occurrence of an event E is trice than the probability of non occurance of the same event, find the value of P(E)

Dear Student,


$$\begin{gathered} Given : Probability of occurance of an event E=3 (Probability of non-occurance of an event E) \\ To Calculate : P\left(E\right) \\ Solution : As we know, \\ Probability of occurance of an event E+ Probability of non-occurance of an event E=1 \\ \Rightarrow 3(Probability of non-occurance of an event E)+ Probability of non-occurance of an event E=1 \\ \Rightarrow 4(Probability of non-occurance of an event E)=1 \\ \Rightarrow Probability of non-occurance of an event E=\frac{1}{4} \\ So, \\ Probability of occurance of an event E=1- Probability of non-occurance of an event E \\ \Rightarrow Probability of occurance of an event E=1- \frac{1}{4} \\ \Rightarrow Probability of occurance of an event E=\frac{3}{4} \\ \Rightarrow P\left(E\right)=\frac{3}{4} \end{gathered}$$

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