DFA for this language

Σ = {a, b, c, d} L = {x ∈ Σ * | x does not start or end with "bab"}

Examples to be taken:

• ababa
• ababc
• bbabb
• bbaba
• ab
• ba
• ahhh
• ɛ

Examples to reject:

• women
• Women
• V.A.V.S.
• cbab
• ABAB

I tried several times and got this so far:

The main problem with my dfa is that it accepts "bbab"

Thank.