QUESTION 1 [TOTAL MARKS: 20) (a) Events A and B in a sample space have P(A) = 5, P(B) = 1 and P(AUB) = 7 (i) Find P(An B

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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 7 I Find P An B 1 (63.9 KiB) Viewed 33 times

QUESTION 1 [TOTAL MARKS: 20) (a) Events A and B in a sample space have P(A) = 5, P(B) = 1 and P(AUB) = 7 (i) Find P(An B). (ii) Find P(AB). (iii) Find P(BA) (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 3, 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 used? (5 marks)