3.4 Chance
Finally, the simplest model of development is one in which every frog has the same chance of growing a fifth leg:

When the variation in leg number results from chance, every individual has probability x of growing five legs and probability 1 - x of growing four.
Any difference between ponds in the frequency of five legs is due to sampling error.
Keep the four alternatives in mind as you design studies that will let you discover the cause of variation in your frogs.