(a)[1]
Calculate how many of these 16500 people are expected to use their voucher.
(b(i))[1]
One of these students is chosen at random. Find the probability that this student wears a red hat.
(b(ii))[3]
Two of the 15 students are chosen at random. Show that the probability that these two students wear hats of the same colour is $\frac{37}{105}$.
(b(iii))[4]
Three of the 15 students are chosen at random. Find the probability that at least two of these three students wear red hats.