Yahtzee has been on shelves for 70 years and remains one of the only games that teaches probability while pretending to be a simple dice game.
The single biggest strategy lesson is don't chase improbable scores in the upper section. The bonus for the upper section (35 points if your aces-through-sixes total reaches 63) requires an average of three of each number across 13 turns. New players try to keep going for sixes when they've already locked in 18 in the section; veterans dump a low roll into "ones" or "twos" and use the freed-up turn to chase a more flexible score in the lower section.
The yahtzee bonus is a famous statistical trap. After your first yahtzee, every additional yahtzee scores 100 bonus points — but only if you take it on the yahtzee line. Most players don't realise that you can also assign a yahtzee to any upper-section box that matches.
Solo Yahtzee is one of the best one-player games of all time. A strong player consistently scores 250+ and a great player breaks 300.