Question

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.

Answer 1

Answer:

x = 16

Step-by-step explanation:

The probability of obtaining a green ball is

P(green) = $\frac{12}{12+x+2}$ = $\frac{12}{x+14}$ and

P(green) = $\frac{2}{5}$, hence equating gives

$\frac{12}{x+14}$ = $\frac{2}{5}$ ( cross- multiply )

2(x + 14) = 60 ( divide both sides by 2 )

x + 14 = 30 ( subtract 14 from both sides )

x = 16