The table shows the results of a survey in which 142 male and 145 female workers ages 25 to 64 were asked if they had at least one month€™s income set aside for emergencies.

(a) Find the probability that a randomly selected worker has one month€™s income or more set aside for emergencies, given that the worker is female.
(b) Find the probability that a randomly selected worker is female, given that the worker has less than one month€™s income set aside for emergencies.

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Male Female Total Less than one month's income 66 One month's income or more7662138 Total 83 149 142 145 287