(i)[1]
Determine the probability that both balls selected are red.
(ii)[2]
Show that the probability that the balls selected have different colours is $\frac{15}{28}$.
(iii)[2]
Given that the second ball chosen is red, determine the probability that the first ball chosen is red.
(iv)[2]
The random variable $X$ stands for the number of red balls selected. Construct the probability distribution table for $X$.
(v)[3]
Calculate $\mathrm{Var}(X)$.