INDEPENDENCE is the ability to play two or more disconnected actions at the same time, with the resulting aim being to free both hands and feet from dependence on each other, but without breaking the rhythm flow.
First start with the right hand. playing what is called a "swing" pattern on the ride cymbal with dotted eighth and sixteenth notes. It is very similar to the shuffle rhythm (See Lesson 19) except it is played with the shuffle feel on the second and fourth beats only.
In all the following exercises the ride cymbal is played with a swing feel throughout. The snare pattern is different in each, helping to develop your right and left hand independence.
Then add the snare drum on the 2 & 4.
This rhythm is, as the name suggests, played fairly briskly. It covers two bars and the tom-tom notes are all played with the right hand.