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- Homework Statement:
- If G_1 and G_2 are independent geometric random variables with parameters p_1 and p_2 respectively, show that

- Relevant Equations:
- P(G_1<G_2)=p_1(1-p_2)/(p_1+p_2-p_1p_2)

The image above is the problem and the image below is the solution I have tried but failed.