Needing to travel to Mars in a hurry, you step into a machine that takes a detailed scan of your body (destroying it in the process) and then sends one copy of the data to Mars and back at 99% of the speed of light, while the other copy stays on Earth. (Unfortunately, on one of the next five occasions when you do this someone will intercept the data and put it in a vat. You won't know which of the next five occasions until after it has happened.) Your body is reconstructed either once or twice, depending on the result of a coin toss: you must bet on which way the coin will fall. If you lose then your body will be reconstructed twice more, and each copy will continue betting (and being duplicated) until you come out ahead.

What colour is the bear?

By the time this technology has been developed the bear will be extinct.