Condition a hypergeometric count on at least one match

A box contains 45 balls distinctly labelled 1 to 45. Seven are drawn randomly without replacement and their labels are the winning numbers. Andy randomly chooses eight distinct integers from 1 to 45.

(i) Show that the probability none of Andy’s numbers matches the winning numbers is 0.227.1 mark

(ii) Hence find the probability exactly four match, given at least one match.3 marks