Buffon's needle problem: Difference between revisions

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:<math>\text{Var}(x_n + y_n) = \text{Var}(x_n) +\text{Var}(y_n) + 2\text{Cov}(x_n,y_n)</math>.
Solving for each part indivduallyindividually,
:<math>\text{Var}(x_n) = \text{Var}(y_n) = \sum_{i = 1}^2 p_i(x_i-\mathbb{E}[x_i])^2 </math>
:<math>