Question

Q3.
If P (E) = 3x-1 and P (not E) = 7x-2. Find the value of x.​

Answer 1

P(E)=P(not E)

3x-1=7x-2

3x-7x=-2+1

-4x=-1

x=-1/-4

x=1/4

Answer 2

The value of x is equal to $\dfrac{2}{5}$.

Step-by-step explanation:

Given,

P (E) = 3x - 1 and P (not E) = 7x - 2

To find, the value of x = ?

We know that,

P (E) + P (not E) = 1

∴ 3x - 1 + 7x - 2 = 1

⇒ 10x - 3 = 1

⇒ 10x  = 1 + 3

⇒ 10x = 4

⇒ x = $\dfrac{4}{10}$

⇒ x = $\dfrac{2}{5}$

∴ The value of x = $\dfrac{2}{5}$

Thus, the value of x is equal to $\dfrac{2}{5}$.