That's the odds of it happening in 7 specific lines. But what are the odds of it happening by chance at any point in time to any person of Schwarzenegger's importance or higher?
Capitalization would be correct in almost all cases. You always capitalize first letter and chances are, first word of each line won't be the beginning of a sentence. Ditto for spacing, 3-5 line paragraphs are fairly common.
How do you figure "almost all"? Even if the text could only contain paragraphs of length 3 and 4, the spacing alone would be incorrect in half the cases (assuming that a 3-4 and 4-3 split is equally likely).
(Of course, we are leaving aside the fact that the full body of the message contains an additional one-line paragraph, which could also be considered part of a correctly capitalized and spaced message.)