Question

If p(A)=x/2 and p(Ā)=x/3 then find x

Answer 1

Step-by-step explanation:

$\because \: p(A) + p( \bar A) = 1 \\ \\ \therefore \: \frac{x}{2} + \frac{x}{3} = 1 \\ \\ \therefore \: \frac{3x + 2x}{2 \times 3}= 1 \\ \\ \therefore \: \frac{5x}{6}= 1\\ \\ \therefore \: x= 1 \times \frac{6}{5} \\ \\ \huge \orange{\boxed{ \therefore \: x= \frac{6}{5} }}$

Answer 2

The value of x is $x=\frac{6}{5}$.

Step-by-step explanation:

Given : $p(A)=\frac{x}{2}$ and $p(\bar{A})=\frac{x}{3}$

To find : The value of x ?

Solution :

We know that,

$p(A)+p(\bar{A})=1$

$\frac{x}{2}+\frac{x}{3}=1$

$\frac{3x+2x}{6}=1$

$\frac{5x}{6}=1$

$5x=6$

$x=\frac{6}{5}$

Therefore, the value of x is $x=\frac{6}{5}$.

#Learn more

If P(Ā) : P(A) = 2:3 then find P(Ā)

https://brainly.in/question/10160829