Question

if p(E)=0.37 then p(not E) will be​

Answer 1

Answer:

p(not E) =0.63 is right answer

Answer 2

$\bf{\huge{\underline{Question}}}$

$\color{red}{ \sf{If \: P(E) = 0.37, then \: find \: P(not \: E).}}$

$\bf{\huge{\underline{Answer}}}$

We know,

The sum of the probabilities of all simple events must be 1.

Then,

$\color{blue}{ \boxed{ \tt{P(E) + P(not \: E) = 1}}}$

$\color{purple}{\rm \underline{Given} \implies}\color{green}{ \sf{P(E) = 0.37}}$

$\color{purple}{\rm \underline{To \: Find} \implies}\color{green}{ \sf{P(not \: E) = \: ?}}$

$\color{purple}{\rm \underline{Solution} \implies}$

$\color{orange}{ \sf{ \therefore \: P(E) + P(not \: E) = 1}} \\ \color{orange}{ \sf{\implies \: 0.37 + P(not \: E) = 1}} \\ \color{orange}{ \sf{\implies \: P(not \: E) = 1 - 0.37}} \\ \color{orange}{ \sf{\implies P(not \: E) = { \boxed{ \red{0.63}}}}}$