contestada

There are 12 green balls and (x+2) yellow balls in a box. If the probability of selecting a green ball at random is 2/5, find the value of x.

Respuesta :

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