A group of $500$ students was surveyed about which one of four colleges they attended and whether they favoured soccer or hockey. The numbers in each category are listed in the table below.
(a)[1]
Determine the probability that a student chosen at random is at Canton college and prefers hockey.
(b)[2]
Find the probability that a randomly selected student is at Devar college, given that he prefers soccer.
(c)[2]
A student is chosen at random. Decide whether the events ‘the student prefers hockey’ and ‘the student is at Amos college or Benn college’ are independent, and justify your conclusion.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The correct probability is $\bfrac{56}{500}$ or $\bfrac{14}{125}$ or $0.112$.” …