A famous magician with the initials H. H. died on Halloween.

The famous magician you are referring to is Harry Houdini. Out of the statements provided:

• True – He died of peritonitis: This is true. Houdini died as a result of peritonitis, which was caused by a ruptured appendicitis.
• False – He died on Christmas Day: This is false. He died on Halloween, October 31, 1926.
• True – He died performing an underwater handcuff escape: This is false. While Houdini was famous for his underwater escape acts, he did not die performing one; his death occurred in a hospital after he was struck in the abdomen.
• False – He died performing at a New Year’s Eve show: This is false for the same reasons mentioned above.

So, the correct statements would be:

• True about his death from peritonitis.
• False about dying on Christmas Day, performing an underwater escape, and performing at a New Year’s Eve show.