Some Set Problems to Ponder:

1. Find all possible sets above.
2. Determine how many cards are needed for the game of set .
3. Assuming that all sets that have been taken during a game were really sets, prove that if there are only 3 cards left that they must also form a set.
4. Calculate the expected value of sets present in a group of 12 cards. Calculate the expected value of sets present in a group of 15 cards.
5. Determine the maximum number of cards where it is possible to have no sets present.
6. Determine the best strategy to play by calculating the likelihood of finding each type of set.

The SET Game idea and graphics are copyrighted property of SET Enterprises. They are used by Anne Quinn for educational purposes with the written permission of SET Enterprises. The SET name and logo are registered trademarks. The above problems (#1, #3, #4, #5, #6) are property of Anne Quinn, Bob Koca, and Fred Weening and may not be reprinted without permission.