This problem "seems like" two problems put together. As I recall, the actual examples that Dan was referring to were epoxidation of cyclic alkenes. You should find these examples in your textbook or lecture notes. You must use these principles. Then you must choose a conformation in which these principles will apply to the epoxide.
Hint, hydrogen bonding.
This is just my opinion, but I'd be surprised that the selectivity would be very large, but I could be wrong. If this is from an actual experiment, it would be interesting to see actual values.