11. A food factory has made 4 different exquisite cards, and each bag of food produced by the factory randomly contains one card. It is stipulated that if one collects all 4 different cards, they can win a prize. Xiao Ming buys 6 bags of this food at once. What is the probability that Xiao Ming will win the prize? $\qquad$ .
Let $A=$ "Xiaoming wins the award", then the event $A$ includes 6 cards: (1) 3 cards are the same, corresponding to the number of permutations being $C_{4}^{3} \cdot A_{6}^{3}=480$; (2) 2 cards are the same respectively, the corresponding number of permutations is $C_{4}^{2} \cdot A_{6}^{2} \cdot C_{4}^{2}=1080$. Therefore, $P(A)=\frac{480+1080}{4^{6}}=\frac{195}{512}$.