Minimum Twice!

Suppose that $X \sim \exponential{\lambda_1}$ and $Y \sim \exponential{\lambda_2}$ independently. For any $t > 0$, compute $\mathbb{P}\left( Y \geq X \geq t \right)$ when $\lambda_i = i$ and $t = 3$. If the answer you receive is $p$, report $p \cdot 10^5$ to the nearest hundredth.