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The accompanying table shows the results of a survey in which $250$ male and $250$ female workers ages $25$ to $64$ were asked if they contribute to a retirement savings plan at work. Compl and (b) below.$\newline$Click the icon to view the survey results.$\newline$(a) Find the probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male.$\newline$The probability that a randomly selected worker contributes to e retirement savings plan at work, given that the worker is male, is $\newline$oxed{ ext{◻}}.$\newline$(Round to three decimal places as needed.)$\newline$(b) Find the probability that a randomly selected worker is female, given that the worker contributes to a retirement savings plan at work.$\newline$The probability that a randomly selected worker is female, given that the worker contributes to a retirement savings plan at work, is $\newline$oxed{ ext{◻}}.$\newline$(Round to three decimal places as needed.)$\newline$Survey Results$\newline$$\newline$$\newline$Contribute$\newline$Do not contribute$\newline$Total$\newline$$\newline$Male$\newline$$123$$\newline$$127$$\newline$$250$$\newline$$\newline$Female$\newline$$155$$\newline$$250$$0$$\newline$$250$$\newline$$\newline$Total$\newline$$250$$2$$\newline$$250$$3$$\newline$$250$$4$$\newline$$\newline$Print$\newline$Done