Neither. Although her fingers partially obscure it, the coin that Rose gives to Jack is generally agreed to be a Barber dime, minted 1892-1916. The Barber dime is distinctive because the portrait of Liberty on the head of the coin faces the right, not the left. See www.imdb.com
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Bob H. is right, even though it is hard to see the picture on the dime, the Barber dime's picture faces to the left, not the right. This can be seen in the movie if you have a good eye, or at least push the pause button on the VCR.
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