Complete the following tree diagram.

Find the probability that exactly one of the selected balls is green.

correct probabilities

     A1A1A1     N3

Note:     Award A1 for each correct bold answer.

[3 marks]

multiplying along branches     (M1)

eg$\,\,\,\,\,$$\frac{5}{8} \times \frac{3}{7},{\text{ }}\frac{3}{8} \times \frac{5}{7},{\text{ }}\frac{{15}}{{56}}$

adding probabilities of correct mutually exclusive paths     (A1)

eg$\,\,\,\,\,$$\frac{5}{8} \times \frac{3}{7} + \frac{3}{8} \times \frac{5}{7},{\text{ }}\frac{{15}}{{56}} + \frac{{15}}{{56}}$

$\frac{{30}}{{56}}{\text{ }}\left( { = \frac{{15}}{{28}}} \right)$     A1     N2

[3 marks]