There are several videos on youTube showing how to access washing machine carbon brushes - but the general case is that you usually get failure symptoms of rough running - burning smells and unusual noise. Usually brushes do not suddenly fail without any warning.
There are other things that might cause the motor not to run - the motor's windings might have failed - the motor's run drive capacitor - the drive transistor a Triac might also be a very probable cause.
If you have the confidence inspect the brushes to reassure yourself and then change the triac on spec - inexpensive.
Consider also the relative age of the thing versus the possible cost of a commercial repair and a new machine.
Good Luck...
May 2016