For The Mathematically Inclined

How many red cards should be added to 7 blacks cards such that the probability to drawing two red cards without replacement is 5/9?

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Problems from 11/17/22

Problem 1

Is 55 * 888 > < =. 88 * 555?

Problem 2

If n x 4² x 5⁵ = 10⁶, what is the value of n?