Board game Hit!

Tokens with numbers from 1 to 10 are hidden in a black bag, in the center of the table there is a track for counting points, and in the soul of each player there is a poorly hidden desire to... win. Mix the contents of the bag thoroughly and begin to take out the tokens one at a time, placing them in front of you. Did you pull out two identical ones? An unfortunate coincidence! Throw all the chips into the box and pass the move to another player - maybe he will do better or he will just be able to stop in time. After all, with every move and every new chip on the table, the risk of pulling out a repeating token increases. You will have to constantly make a difficult decision: tempt fate and hold out for more, or play it safe and be content with what you have.Yellow two, green seven and... two again! No, this is not a painting by a famous Russian artist, but some kind of universal bad luck. But this time the player opened less than four chips per turn and earned a horseshoe card as a consolation bonus. What kind of malicious chuckle came from the other end of the table? Firstly, it’s for luck, and secondly, three such cards can be exchanged for as many as fifty victory points, and this is already a serious bid for victory!While someone is admiring an honestly earned horseshoe, another player has collected a good combination of five chips of different denominations and decided to stop there. First, he will take the same chips from the other players at the table, and then - at the beginning of his next turn - he will receive victory points for them. But your opponents are unlikely to want to share their tokens. There is a lot of interaction in this competitive game, chips wander around the table back and forth, your attention constantly switches between leaders, and your head is sometimes clouded by the proximity of big money."Hit!" The game is played quickly and passionately, and sometimes the situation on the scoring track suddenly turns upside down. Someone got ahead, but now for a circle in a row he does nothing but distribute his tokens to more successful neighbors. The chips are discarded, the bag gradually becomes empty, which means the probability of getting the numbers you need changes. But the game continues, and all the chips thrown into the box return to the bag again, clearly confusing someone’s plans with their presence.It is safe to say that the first one to score a hundred points will win, and the losers will remain with their own. Otherwise, the outcome is unpredictable. And this only fuels interest in the gameplay! While one player with sparkling eyes cheerfully slaps tokens on the table, another carefully pulls them out with a shaking hand, clearly not considering himself a favorite of fortune. During a game, you want to watch everyone, because the fate of the other contenders for victory depends on the ability to stop in time and the luck of each participant.Experienced desktop mathematicians say that it is quite possible to calculate the probability according to which the proverbial bag is emptied. Or you can give in to chance and just have a great time, egging on your opponents and bluffing with or without reason. But what if the main thing here is to tell yourself “stop” in time? Well, check out all the possible winning tactics for yourself, and at the same time try your luck with greed in the board game “Hit!” Game duration: 15 minutes
Number of players: 2-7
Age restrictions: 8+