Poisson approximation on a disk

Suppose $(X_i,Y_i)$, $i=1,2,…,200$, are i.i.d. random vectors each having joint probability density function $$f(x,y)=\begin{cases}\dfrac{1}{25\pi}& \text{if }x^2+y^2\le 25,\ 0& \text{otherwise.}\end{cases}$$ Let $M$ be the cardinality of the set $\{i\in\{1,2,…,200\}:X_i^2+Y_i^2\le 0.25\}$. Then $\mathbb{P}(M\ge 1)$ is closest to