Correlation of Max and Min | Explaining Greenbook Probability Questions

I am explaining every Quant Greenbook probability problem so I can practice for interviews. Correlation of Max and Min Problem Let X₁ and X₂ be IID random variables with uniform distribution between 0 and 1, Y = min(X₁, X₂), and Z = max(X₁, X₂). What is the probability of Y ≥ y given that Z ≤ z for any y, z ∈ [0, 1]? What is the correlation of Y and Z?