If I perform the following grep on my Linux box:
$ ps -ef | grep bash
root 2286 1 0 Jun06 ? 00:03:15 /bin/bash /etc/init.d/zxy100wd
wmiller
This is because the expression ba[s]h (or [b]ash, or...) just matches bash, not ba[s]h (or [b]ash, or...).
So the grep command is looking for all lines with bash:
root 2286 1 0 Jun06 ? 00:03:15 /bin/bash /etc/init.d/zxy100wd
wmiller 6436 6429 0 Jun06 pts/0 00:00:01 bash
wmiller 10707 6429 0 Jun07 pts/1 00:00:00 bash
wmiller 10795 6429 0 Jun07 pts/2 00:00:00 bash
but
wmiller 16220 6436 0 06:55 pts/0 00:00:00 grep --color=auto ba[s]h
does not match because it is not exactly bash.
Fedorqui nails it with the explanation of the character class trick. I just wanted to point out the other method I used quite often albeit a bit longer than what you already know was to use -v option of grep command.
ps -ef | grep bash | grep -v grep