Getting at least 1 red queen after 5 draws from standard deck with replacement

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If 5 cards are randomly selected from a standard deck of cards with replacement, what's the probability of getting at least 1 red queen?

Here's what I've done but I'm unsure if it's right, here I'm assuming this is a binomial distribution:

$$Y\sim Bin(52,\frac{1}{26})$$ $$1-P(Y=0)=1-{52\choose 0}*\frac{1}{26}^0*\frac{25}{26}^{52}$$

I'm sure if the number of trials should be $5$ or $52$. Please help me with this. Thank you