Answer:
x = 16
Step-by-step explanation:
The probability of obtaining a green ball is
P(green) = [tex]\frac{12}{12+x+2}[/tex] = [tex]\frac{12}{x+14}[/tex] and
P(green) = [tex]\frac{2}{5}[/tex], hence equating gives
[tex]\frac{12}{x+14}[/tex] = [tex]\frac{2}{5}[/tex] ( cross- multiply )
2(x + 14) = 60 ( divide both sides by 2 )
x + 14 = 30 ( subtract 14 from both sides )
x = 16