P= \frac{C_4^1\cdot C_{18}^2}{C_{22}^3} + \frac{C_4^2\cdot C_{18}^1}{C_{22}^3}  +\frac{C_{4}^3}{C_{22}^3} = \\\\=\frac{4\cdot 18\cdot 17\cdot 6}{22\cdot 21\cdor 20\cdot 2} + \frac{4\cdot 3\cdot 18\cdot 6}{22\cdot 21\cdot 20\cdot 2}  +\frac{4\cdot 3\cdot 2}{22\cdot 21\cdot 20} \approx 0,4701