Thanks to all who replied. Thanks to your instruction, it now is clear to me that, in an infinite series of random characters, every conceivable sequence MUST occur. These sequences must, of course, obey the requirement that all random characters in an infinite sequence must appear an equal number of times. This requirement rules out sequences of only one character.
Therefore, in infinite time, the long-lived monkey at the durable typewriter HAS to eventually write the works of Shakespeare, as well as anything else conceivable. More generally, everything that can happen MUST happen, not only once but an infinite number of times. Norm Samish