Mathematics, 17.04.2020 00:30 ernestscott406

A survey of 130 employed citizens was conducted where citizens were asked about if they work in an office and if they work on Saturdays.

The following table shows the results.

Does Not Work in an Office Works in an Office Total
Does Not Work Saturday 19 55 74
Works Saturday 10 46 56
Total 29 101 130

According to the table, what is the probability that a randomly chosen citizen works Saturday given that they do not work in an office? Give your answer as a fraction in simplest form.

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