Question

A sample poll of 100 voters reveals the

following information about candidates A, B and C who are nominated for 3 different offices: 20 are in favour of candidate A, 50 are in favour of candidate B, 50 are in favour of candidate C, 10 favour both candidates A and B, 10 favour both candidates A and C, 25 favour both candidates B and C, 10 favour all three candidates. Denote by A, B and C the events that a selected voter favours candidate A, candidate B and candidate C, respectively. Which of the following statements hold true?

A the three events are statistically independent

B the three events are not statistically independent

C A and B are not statistically independent

D A and C are not statistically independent