Game of Ring Toss

In the game of Ring Toss, each player is given a ring to throw onto one of ten bottles. Four children playing this game have amazing accuracy and all land their rings on the bottle they aim for. If each child chooses their bottle uniformly and independently, the probability that there exists a bottle with two or more rings can be expressed as \(\frac{a}{b}\), where \(a\) and \(b\) are coprime positive integers. What is the value of \(a+b \)?

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