Round 1: Getting in
Draw
Egypt: a permit or visa issued on arrival. A visa is mandatory; it can be bought on arrival for USD 25 or obtained beforehand at visa2egypt.gov.eg at least seven days ahead. Passport valid six months or more. Jordan: a permit or visa issued on arrival. An entry visa is required; tourist visas are issued on arrival at Amman airport or applied for online through the Ministry of Interior. Both issue a visa on arrival, Egypt for USD 25 and Jordan at Amman airport; both also sell it online beforehand. A draw on paperwork.
Rule: Fewer hoops wins: ID card, then visa-free, then on-arrival permit, then e-visa, then consular visa.