GATE 2018 | MATH | Q-64

Question

Let \(X_1\) and \(X_2\) be independent geometric random variables with the same probability mass function given by \(P(X = k) = p(1 - p)^{k-1}\), \(k = 1, 2, \ldots\). Then the value of \(P(X_1 = 2 | X_1 + X_2 = 4)\) correct up to three decimal places is____________