Question

A coin is thrown at random into the rectangle below.

mc003-1.jpg

What is the likelihood that the coin will land in the green region?
It is certain.
It is impossible.
It is likely.
It is unlikely.

Answer 1

I can’t see the picture you mentioned. Could you re‑upload it or describe the rectangle and the green region (shape, sizes, positions)?

Meanwhile, here is how to decide the answer once the picture is known:

- If the coin is treated as a point (infinitesimally small), the chance = area(green region) / area(whole rectangle).
- If that ratio = 1 → “It is certain”.
- If = 0 → “It is impossible”.
- If > 1/2 → “It is likely”.
- If < 1/2 → “It is unlikely”.

- If the coin has finite size (nonzero radius), you must instead compare the area of positions its center can occupy so the whole coin lies within the green region to the total area of possible centers inside the rectangle. In other words, shrink the green region by the coin’s radius (offset inward) and use that shrunk area divided by the shrunk rectangle area.

Send the image or dimensions and I’ll compute which choice is correct.