Question: A cyclist rides through a city grid and chooses at random one of six possible routes each day, with each route equally likely. Over the course of 10 days, what is the probability that exactly 3 of the chosen routes are scenic, 4 are family-friendly, and 3 are off-road trails, assuming the routes are categorized as follows: 2 scenic, 3 family-friendly, and 1 off-road (with 1 unusual route misclassified as off-road)? - go-checkin.com