# a) In Mr. ERIZ's class, the probability of student

who likes Mathematics subject is 0.5 and the probability who likes both Mathematics and Statistics subjects is 0.25.

i. If one student is chosen at random, what is the probability that this student likes Statistics given that he/she also like Mathematics subject?

(2 marks)

ii. If the probability of students who likes Statistics is 0.45, are the events 'like Mathematics subject' and 'like Statistics subject' independent? Justify your answer.

(4 marks)

iii. Are the events 'likes Mathematics' and 'likes Statistics' mutually exclusive? Justify your answer.

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