The (bc) is an exact string, it wasn't found because the b* was greedy, but since (bc)?
is optional  the match suceeded after the last 'b'.
You probably want something like this: ab*[bc]? but this doesent make sense so probably ab*c?. If this regex represents something more elaborate, you should post those examples.
Here is how the regex engine sees it:
Compiling REx "ab*(bc)?"
Matching REx "ab*(bc)?" against "abbbc"
   0 <> <abbbc>              |  1:EXACT <a>(3)
   1 <a> <bbbc>              |  3:STAR(6)
                                  EXACT <b> can match 3 times out of 2147483647...
   4 <abbb> <c>              |  6:  CURLYM[1] {0,1}(16)
   4 <abbb> <c>              | 10:    EXACT <bc>(14)
                                      failed...
                                    CURLYM trying tail with matches=0...
   4 <abbb> <c>              | 16:    END(0)
Match successful!
Compiling REx "ab*[bc]?"
Matching REx "ab*[bc]?" against "abbbc"
   0 <> <abbbc>              |  1:EXACT <a>(3)
   1 <a> <bbbc>              |  3:STAR(6)
                                  EXACT <b> can match 3 times out of 2147483647...
   4 <abbb> <c>              |  6:  CURLY {0,1}(19)
                                    ANYOF[bc] can match 1 times out of 1...
   5 <abbbc> <>              | 19:    END(0)
Match successful!