Complete the tree diagram below.

Find the value of $p$.

     (A1)(A1)     (C2)

Note:     Award (A1) for each correct pair of probabilities.

[2 marks]

$\frac{4}{5}p + \frac{1}{5} \times \frac{1}{4} = \frac{3}{5}$     (A1)(ft)(M1)(M1)

Note:     Award (A1)(ft) for two correct products from part (a), (M1) for adding their products, (M1) for equating the sum of any two probabilities to $\frac{3}{5}$.

$(p = ){\text{ }}\frac{{11}}{{16}}{\text{ }}(0.688,{\text{ }}0.6875)$    (A1)(ft)     (C4)

Note:     Award the final (A1)(ft) only if $0 \leqslant p \leqslant 1$. Follow through from part (a).

[4 marks]