Analytical judgment mindset hard to make friends.

Hi, I have a very detail oriented mind and I do math in my head but stink at casual conversation and don’t take harsh words well at my job from customers like “this is poor workmanship” (when it’s excellent workmanship). Today a lady picked up her oredr and one item was missing because it was handed out to the wrong customer! SAME LAST NAME, SAME SIZE ITEM, SAME COLOR AND BRAND! This is 99.5% impossible! So I figured she was pulling a scam because the odds were higher of that being the case. I was wrong! This really bugs me to go with the higher probability result regardless of whose feelings get hurt! What can I do to stop this anti-social behavior!