A number x is chosen at random from the set {1,2,3,4, ….., 100}. Define the event: A = the chosen number x satisfies ((x-10)(x-50))/((x-30)) ≥ 0 Then…

A number $\displaystyle x$ is chosen at random from the set $\displaystyle \{1,2,3,4, \ldots . ., 100\}$. Define the event: $\displaystyle \mathrm{A}=$ the chosen number $\displaystyle x$ satisfies $$\frac{(x-10)(x-50)}{(x-30)} \geqslant 0 $$ Then $\displaystyle \mathrm{P}(\mathrm{A})$ is :