There are approximately 1023 H2O molecules in a thimbleful of water and 1046 H2O molecules...

There are approximately 1023 H2O molecules in a thimbleful of water and 1046 H2O molecules in Earths oceans. Suppose that Columbus threw a thimbleful of water into the ocean and that those water molecules have by now mixed uniformly with all the water molecules in the oceans. Show that, if you dip a sample thimbleful of water from anywhere in the ocean, you’ll probably scoop up at least one of the molecules that was in Columbus’s thimble. (Hint: The ratio of the number of molecules in a thimble to the number of molecules in the ocean will equal the ratio of the number of molecules in question to the number of molecules that the thimble can hold.)