QUESTION 1 [TOTAL MARKS: 20) (a) Events A and B in a sample space have P(A) = 5, P(B) = and P(AUB) = (i) Find P(ANB). (i

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Question 1 Total Marks 20 A Events A And B In A Sample Space Have P A 5 P B And P Aub I Find P Anb I 1 (59.72 KiB) Viewed 25 times

QUESTION 1 [TOTAL MARKS: 20) (a) Events A and B in a sample space have P(A) = 5, P(B) = and P(AUB) = (i) Find P(ANB). (ii) Find P(AB). (iii) Find P(B|A). (iv) Are A and B independent? Why or why not? 15 marks (b) The probability that a certain beginner at golf gets a good shot if he uses the correct club is s. and the probability of a good shot with an incorrect club is. In his bag are 5 different clubs, only one of which is correct for the shot in question. If he chooses a club at random and takes a stroke, what is the probability that he gets a good shot? 2 (10 marks) (e) In part(), if it is known that a good shot has resulted, what is the probability that the right club was used?