In my experience, luck had nothing to do with it. No luck is needed in remembering to apply repellent, no luck is needed in knowing what repellent has worked in the past. More likely it was cockyness and not thinking they needed anything or knew it all that led to the measle looking bites
Actually luck may have something to do with it. I'm not sure that I read that the instructor did not apply a repellent or not. Perhaps implied?
"Scientists have identified several proteins found in mosquitoes antennae and heads that latch on to chemical markers, or odorants, emitted from our skin. These markers are produced by the natural processes of our bodies and, like neon signs, they let the mosquitoes smell center know youre around (though the process that then guides them to you is not well understood). Flies and mosquitoes share a number of the same genes that dictate production of these odorant-binding proteins, which have specific sites that will catch or bind with certain chemicals in the air. Some scientists suggest that certain characteristics attract mosquitoes, thereby leading us to have more bites than others. Some of the top candidates: the amount of carbon dioxide in the breath, pregnancy, body temperature, alcohol and odorant markers based on blood type.
Blood-type markers are chemicals released by people of a specific blood type so if someone with AB blood emitted a marker, it would be different than that released by B. One study found persons with Type O blood suffered more mosquito landings because of the odorant markers they emit than any other blood type, making their juices a hot commodity for blood banks, as well as Asian Tiger Mosquitoes, which carry West Nile Virus. Not only were Type Os more likely to be landed on, but the study found that for any blood type, people who secreted a chemical marker about their blood type through their skin (both blood type and secretor status are determined by genes) were bitten much more than non-secretors; 24 percent in the case of the Type Os. Other researchers estimate about 15 percent of the population, based on their genes, dont emit chemical markers of their blood type through their skin and saliva, so something else has to be calling the mosquitoes to them." - ScienceLine
All Deet and Picaridin do is mask those markers. People have some misguided ideas about this. I watch bemusedly as my friends apply DEET to their hats, clothing and socks. Permethrin is a much better solution to those problems.
I know from my personal experience (n=1, just like you), that I am always the unlucky one who gets bitten while my companions stay "measle" free.
So - ceteris paribus - it MAY just be luck.