Correlation of overlapping sums

Three independent dice give X1,X2,X3X_1, X_2, X_3. What is the correlation between X1+X2X_1+X_2 and X2+X3X_2+X_3?

Show hints (2)+
  1. Only the shared term X_2 contributes to the covariance.
  2. Cov = Var(X_2); divide by the product of the standard deviations.

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