Solitaire leaks information at a rate of about 0.0005 bits per character. While its security may perhaps be adequate for very short messages, in general Solitaire is considered insecure.
Thanks for that! The analysis you present doesn't seem to account for the Jokers having variable values based on information only you and the receiver have predetermined, which is what I would propose to help solitaire be more secure. Also, a non-standard deck would help, such as a tarot deck.