3 In a game of darts, a player throws three darts. Let \(X\) represent the number of darts which hit the bull's-eye. The probability distribution of \(X\) is shown in the table.
\(r\)
0
1
2
3
\(\mathrm { P } ( X = r )\)
0.5
0.35
\(p\)
\(q\)
(A) Show that \(p + q = 0.15\).
(B) Given that the expectation of \(X\) is 0.67 , show that \(2 p + 3 q = 0.32\).
(C) Find the values of \(p\) and \(q\).