A school is suffering a measles outbreak. From past studies, they know the chance that a child will contract measles is 90%

if the child has not been immunised, and 5% if they have been immunised. The immunisation rate in the school is 86%.

a. Define an appropriate sample space and events, and write down all the information given in the question.

b. Find the probability that a child who catches measles is immunised.

c. Ear infections are common in children with measles. During the measles outbreak, a child who catches measles gets an ear infection with probability 0.14, whereas a child who does not catch measles gets an ear infection with probability 0.03. Find the probability that a child at the school gets an ear infection during the measles outbreak.