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.
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.