Finding a Person of Interest in pi

"if every particle in the universe was used to encode a digit of pi, there would be a 50% chance of finding an arbitrary 300 digit number therein"

I can infer this means you think its highly improbable that pi contains every number, let alone Hamlet.

If your convert "Hamlet" into binary we get this sequence of numbers:

01001000 01100001 01101101 01101100 01100101 01110100 00001101 00001010

You could test yourself to see if these set of numbers combined exist in pi. Although I think you will have a higher chance if you convert into the Ascii decimal values: 72 97 109 108 101 116 13 10