bbbb.

bbbb.

bbbb.

bbbb.

bbbb.

bbbb.

bbbb.

bbbb.

In the second group, where there is one b, there are two sets just alike; in the third there are 4, in the fourth 8, and in the fifth 16, doubling every time. This is because we have supposed twice as many black balls in the granary as white ones; had we supposed 10 times as many, instead of

1, 2, 4, 8, 16