Here, total number of persons = 5 One spokesperson is selected out of 5 persons in ${}^{5}C_{1}$ = 5 ways Let E be the event that a person is male and F be the event that a person is over 35 years. There are 3 males and one person can be selected in ${}^{3}C_{1}$ ways. ∴ P (E) = $\frac{{}^{3}C_{1}}{{}^{5}C_{1}}$ = $\frac{3}{5}$ There are 2 persons who are over 35 years. So, one person can be selected in ${}^{2}C_{1}$ ways. ∴ P (F) = $\frac{{}^{2}C_{1}}{{}^{5}C_{1}}$ = $\frac{2}{5}$ There is 1 person who is male and over 35 years. ∴ P (E ∩ F) = $\frac{{}^{1}C_{1}}{{}^{5}C_{1}}$ = $\frac{1}{5}$ Now, P(either male or over 35 years) = P(E ∪ F) = P(E) + P(F) – P(E ∩ F) = $\frac{3}{5}+\frac{2}{5}-\frac{1}{5}$ = $\frac{3+2-1}{5}$ = $\frac{4}{5}$