An experiment consists of throwing a die. ∴ The sample space of the experiment is given by S = {1, 2, 3, 4, 5, 6} (i) Let E be the event that a prime number will appear. E = {2, 3, 5} ∴ P (E) = $\frac{n(E)}{n(S)}$ = $\frac{3}{6}$ = $\frac{1}{2}$ (ii) Let F be the event that a number ≥ 3 will appear. F = {3, 4, 5, 6} ∴ P (F) = $\frac{n(F)}{n(S)}$ = $\frac{4}{6}$ = $\frac{2}{3}$ (iii) Let G be the event that a number ≤ 1 will appear. G = {1} ∴ P (G) = $\frac{n(G)}{n(S)}$ = $\frac{1}{6}$ (iv) Let H be the event that a number more than 6 will appear. H = ϕ ∴ P (H) = $\frac{n(H)}{n(S)}$ = $\frac{0}{6}$ = 0 (v) Let I be the event that a number less than 6 will appear. I = {1, 2, 3, 4, 5} ∴ P (I) = $\frac{n(I)}{n(S)}$ = $\frac{5}{6}$