QUESTION 1 [TOTAL MARKS: 20) (a) Events A and B in a sample space have P(A) = 5, P(B) = 1 and P(AUB) = 17 (i) Find P(ANB
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QUESTION 1 [TOTAL MARKS: 20) (a) Events A and B in a sample space have P(A) = 5, P(B) = 1 and P(AUB) = 17 (i) Find P(ANB
QUESTION 1 [TOTAL MARKS: 20) (a) Events A and B in a sample space have P(A) = 5, P(B) = 1 and P(AUB) = 17 (i) Find P(ANB). (ii) Find P(AB). (iii) Find P(B|A). (iv) Are A and B independent? Why or why not? (5 marks] (b) The probability that a certain beginner at golf gets a good shot if he uses the correct club is . 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? [10 marks) (c) In part. (b). if it is known that a good shot has resulted, what is the probability that the right club was sed?
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