Solve the Problem $31 \%$ Of the Workers at Motor Works Are Female, While

Multiple Choice

Solve the problem. Express the answer as a percentage.
- $31 \%$ of the workers at Motor Works are female, while $37 \%$ of the workers at City Bank are female. If a worker is selected at random, what is the probability that the worker will be from Motor Works, given that the worker is female? Round your answer to the nearest tenth, if necessary.

A) $45.6 \%$
B) $54.4 \%$
C) $37 \%$
D) $31 \%$