According to the ABS, 64% of Australian adults live in capital cities. Further, the ABS reports that

Question:

According to the ABS, 64% of Australian adults live in capital cities. Further, the ABS reports that about 3% of all Australian adults care for ill relatives. Suppose that, of those adults living in capital cities, 2% care for ill relatives.

(a) Use the general law of multiplication to determine the probability of randomly selecting an adult from the Australian population who lives in a capital city area and is caring for an ill relative.

(b) What is the probability of randomly selecting an adult from the Australian population who lives in a capital city area and does not care for an ill relative?

(d) From the probability matrix, determine the probability that an adult does not live in a capital city area but cares for an ill relative.

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