Multiplication Rule: Dependent Events: Videos & Practice Problems

A fast-food restaurant offers $4$ types of meals: Burger Meal, Chicken Meal, Vegetarian Meal, and Fish Meal. Based on past data, the probability that a customer orders each type is as follows:
Burger Meal: $\frac{3}{10}$, Chicken Meal: $\frac{2}{10}$, Vegetarian Meal: $\frac{4}{10}$, Fish Meal: $\frac{1}{10}$
Twelve customers place their orders independently. What is the probability that exactly $4$ order Burger meals, $3$ order Chicken meals, $4$ order Vegetarian meals, and $1$ orders a Fish meal?