The second person draws 1, first of all, to satisfy the requirement that the first person does not draw 1 (the probability is four fifths), and he draws one of the four cards (1/4) 4/5 *1/4 =1/5.
The third person and so on, the first person does not smoke 1 (four fifths of the probability), the second person does not smoke (3/4), and the third person smokes (1/3) 4/5 * 3/4 *1/3 =1/.
The fourth one is the same as the fifth one. 1/5.