Core stretch $UVWX$ is a rectangular target. $M,N,P,Q$ are the midpoints of $UV,VW,WX,XU$, res

Question

Core stretch $UVWX$ is a rectangular target. $M,N,P,Q$ are the midpoints of $UV,VW,WX,XU$, respectively. A point lands uniformly at random on the rectangle. Find the probability that it lands $U$ $V$ $W$ $X$ $M$ $N$ $P$ $Q$

Accepted Answer

(a) $\frac{1}{8}$ (b) $\frac{1}{2}$.

Area probability on a midpoint target

Area probability on a midpoint target

Solution:

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