Attempt 1

Now it's time to look at what will happen when we come to assemble the components, but first of all, let's have a quick recap of the figures we've just calculated.

For a number of assemblies made up of a randomly selected shaft and a randomly selected bearing:

This means that, when we assemble our 1000 shafts and bearings, about 120 won't fit, and will have to be reassembled in a different combination. Of the 880 units that do fit together, about 120 will have a gap larger than the acceptable maximum, and will therefore be too loose to function effectively.

1000 shafts		880 finished assemblies (of which 120 are too loose)
1000 bearings		120 which won't fit

The next step is to assemble the 120 shafts and bearings which didn't fit together the first time. Remember that the same distribution applies, which means that of these 120 assemblies, about 12% will not fit together, and about 12% will be too loose. 12% of 120 is 14, so we shall get the following results.

120 shafts		106 finished assemblies (of which 14 are too loose)
120 bearings		14 which won't fit

Repeating this process for the 14 shafts and bearings which didn't fit together the second time around, we find that about 2 of these will not fit, and of the 12 which do, about 2 will be too loose.

On the next page, you can see the results of our efforts in table form.