A survey was undertaken to investigate the covid 19 vaccination status among SCC WSU students (vaccinated, event B). The following information was found.

70% of those surveyed are local students ( Event A),

55% of the local students are vaccinated (B | A), and

35% of the overseas students surveyed are vaccinated (B | A').

If one of the surveyed is selected at random

What is the probability that the student is local and vaccinated?