Roulette-wheel and tournament selection are commonly used methods for se-
lection in EAs. Consider a case where a single individual is to be selected
from a population with five individuals with fitness values F1 = 1, F2 = 4,
F3 = 9, F4 = 16, and F5 = 25. What is the probability that individual 4 (with
fitness equal to 16) will be selected, in a single selection step, if the selection
is performed using
i. Roulette-wheel selection
ii. Tournament selection with a tournament size of two, and the tournament
selection probability ptour = 0.75. Note that tournament selection is done
with replacement.