Jay-Z and Beyonce -- Jet Down to Cuba to Play ... Ball?

Jay-Z and Beyonce celebrated their wedding anniversary with an opportunely timed trip to Cuba that raises some questions, like ... is this strictly for pleasure, or maybe a little business too?

B and 'Hova were photographed strolling all over Havana on Thursday ... their 5th anniversary.

Technically, US citizens are not supposed to travel to the communist nation from the states if it's purely for tourism ... though there are ways to skirt the travel ban.

For instance, travelers can obtain a "cultural exchange" license from the US government.

It's not clear if baseball qualifies as "cultural exchange" -- or if Jay and Beyonce obtained a travel license.