A bag contain 3 red, 5 yellow card 5 green balls 3 balls are drawn randomly. What is the probability that the balls drawn contain “Exactly two green balls”

$n\left(S\right)={}^{12}{\text{C}}_3=220$

2 green balls can be selected from 4 green balls in ${}^4{\text{C}}_2$ ways and the rest one ball from the remaining $(12-4)=8$ balls in ${}^8{\text{C}}_1$ ways

$\begin{array}{l}n\left(E\right)={}^4{\text{C}}_2\times {}^8{\text{C}}_1=6\times 8\\ n\left(S\right)=220\\ \therefore P\left(E\right)=\frac{6\times 8}{220}=\frac{12}{55}\end{array}$