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A certain brand of instant noodles randomly includes a card in each bag (the card can be of type $A$, $B$, or $C$). It is stipulated that if one collects one card of each type $A$, $B$, and $C$, they can receive a prize.  
$(1)$ It is known that this brand of instant noodles has two flavors. In order to understand the proportion of $C$ cards in these two flavors of instant noodles, Xiaoming collected the following survey data:  

|         | Flavor 1 | Flavor 2 | Total |
|---------|----------|----------|-------|
| $C$ card| 20       | 10       | 30    |
| Non-$C$ card | 75   | 45       | 120   |
| Total   | 95       | 55       | 150   |

Based on the above data, determine whether there is a $99\%$ certainty that "the proportion of $C$ cards in this brand of instant noodles is related to the flavor of the noodles."  
$(2)$ According to the "Anti-Unfair Competition Law of the People's Republic of China," operators conducting prize promotions must clearly indicate to buyers the types of prizes, the probability of winning, the amount of the prize, or the types of prizes, the redemption time, and method. After Xiaoming's inquiry, the proportions of $A$, $B$, and $C$ cards in this instant noodle brand are $\frac{2}{5}$, $\frac{2}{5}$, $\frac{1}{5}$, respectively. If Xiaoming buys 3 bags of this instant noodles at once:  
① Calculate the probability of Xiaoming winning a prize;  
② If Xiaoming does not win a prize, calculate the probability that Xiaoming did not get a $C$ card.  
Given: ${χ^2}=\frac{{n{{(ad-bc)}^2}}}{{(a+b)(c+d)(a+c)(b+d)}}$,  

| $P(\chi ^{2}\geqslant x_{0})$ | 0.050 | 0.010 | 0.001 |
|-------------------------------|-------|-------|-------|
| $x_{0}$                       | 3.841 | 6.635 | 10.828|

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