Let's solve the expression step by step.

Expression:
$\left( \frac{6}{3} \right) \cdot 2 - 1 - 3$

1. First, simplify the division inside the parentheses: $\frac{6}{3} = 2$

2. Now, replace it in the expression: $2 \cdot 2 - 1 - 3$

3. Multiply $2 \cdot 2$: $4 - 1 - 3$

4. Subtract: $4 - 1 = 3$ $3 - 3 = 0$

Thus, the final result is: $\boxed{0}$

Would you like more details or have any questions?

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Here are 5 related questions to practice:

1. Solve $\left( \frac{12}{4} \right) \cdot 3 - 2 + 5$.
2. Simplify $(8 \div 2) \cdot 4 - 7 + 3$.
3. Calculate $(5 + 3) \cdot 2 - 6 - 4$.
4. Solve $\frac{9}{3} + 5 - 2 \cdot 2$.
5. What is $7 \div (2 + 1) \cdot 4 - 3$?

Tip: Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).