(i) The probability that the person chosen is from country X is given by the ratio of the population of country X to the total population:

\(P(X) = \frac{20}{28} = \frac{5}{7} \approx 0.714\)

(ii) The probability that the person chosen has fair hair is calculated by considering both countries:

In country X, 25% have fair hair, so \(0.25 \times 20 = 5\) million people.

In country Y, 60% have fair hair, so \(0.60 \times 8 = 4.8\) million people.

Total with fair hair = \(5 + 4.8 = 9.8\) million people.

\(P(F) = \frac{9.8}{28} = \frac{7}{20} = 0.35\)

(iii) The probability that the person is from country X given they have fair hair is:

\(P(X|F) = \frac{P(X \cap F)}{P(F)}\)

\(P(X \cap F) = \frac{5}{28}\) (people with fair hair from X)

\(P(X|F) = \frac{\frac{5}{28}}{\frac{7}{20}} = \frac{5}{28} \times \frac{20}{7} = \frac{25}{49} \approx 0.51\)