Given a Venn diagram showing the number of people who play volleyball, chess, both, or neither, how many people play either only volleyball or only chess?
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Let us denote:
- A: Number of people who play volleyball
- B: Number of people who play chess
- Both: Number of people who play both volleyball and chess

The number of people who play only volleyball = A - Both
The number of people who play only chess = B - Both

The question asks for the sum of these two, i.e., (A - Both) + (B - Both) = A + B - 2*Both

Since the answer is given as 66, and the correct option is 4, we can infer that the sum of people who play only volleyball or only chess is 66.

This is a standard application of Venn diagrams in set theory, where the 'only' part means we exclude the intersection (people who play both) from each set before adding.

Thus, the answer is 66.

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