• Regular Expression from DFA Transition Analysis:
• From start state $s$:
• single transition on input 1 reaches the accepting state $p$.
• At accepting state $p$:
• Reading 0 loops back to $p$.
• Reading 11 transitions through state $q$ and loops back to $p$.
• Any repetition of 0 and 11 keeps the machine in accepting state $p$.
• The complete regular expression for strings driving the DFA from $s$ to $p$ is:

• Conclusion: 1(0 + 11)* (Option 3).

Correct option: (3) 1(0+ 11)"