Ex.15.1 Q5 Probability Solution - NCERT Maths Class 10
Go back to 'Ex.15.1'
Question
If \(\begin{align}{P(E)} = 0.05,\end{align}\) what is the probability of 'not \({}E\)?
Video Solution
Probability
Ex 15.1 | Question 5
Text Solution
What is known?
\(P(E) = 0.05\)
What is unknown?
Probability of ‘not E’
Reasoning:
Probability of not happening an event is equal to \(1\) minus probability of happening an event.
Steps:
\[\begin{align} {P}({E}) &=0.05\end{align}\]
We know that
\[\begin{align} {P}\,({E})+{P}\,(\text { not } {E}) &=1 \\ 0.05+{P} (\text { not }E) &=1 \\ {P}\,(\text { not } {E}) &=1-0.05 \\ {P}\,(\text { not }E) &=0.95 \end{align}\]
Thus the probability of 'not \({E}\)' is \(0.95.\)