Answer:
[tex]\frac{3}{14}[/tex]
Step-by-step explanation:
There are 252 (=31+54+42+20+47+58) employees in total. 54 of those are in research. So the chances that one check that gets lost belongs to a research employee can be calculated as follows:
[tex]P=\frac{54}{252}= \frac{3}{14}[/tex]