Total number of ways in which 5 tickets can be drawn = n(S) = 30C5. The tickets are arranged in the form T1, T2, T3 (= 20), T4, T5 Where T1, T2 ∈{1, 2, 3, …, 19} and T4, T5 ∈{21, 22, …, 30} ∴ Number of favourable cases = 19C2 x 1 x 10C2∴ Required probability = \(rac{^{19}C_2 imes^{10}C_2}{^{30}C_5}\) = \(rac{19 imes18}{2} imesrac{10 imes9}{2}\) x \(rac{5 imes4 imes3 imes2 imes1}{30 imes29 imes28 imes27 imes26}\) = \(rac{285}{5278}.\)