Original expression:
\[ 15 + 5 - 2 / 6 * 3 \]
Replacing the operators:
\[ 15 \div 5 \times 2 - 6 + 3 \]
First, perform division:
\[ 3 \times 2 - 6 + 3 \]
Next, perform multiplication:
\[ 6 - 6 + 3 \]
Now, perform subtraction and addition:
\[ 0 + 3 = 3 \]
Thus, the correct answer is 3 (Option B).