Among a group of 300 pet owners who visit the same pet store, it is found that 155 have a cat, while 165 have a dog. There are 85 of these who have both a dog and a cat. Suppose one individual is chosen at random from this group of 300 pet owners. a) Find the conditional probability the individual owns a dog given that he or she owns a cat. b) Find the conditional probability the individual owns a cat given that he or she owns a dog. c) Are these two events E 'owns dog' and F 'owns cat' dependent events or independent events. Explain why.

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