What is the permissibility of using dice, those that are found in common board games especially in the west? For this purpose they aren’t used for gambling but they are generally known to be tools for such. Does the mere association with gambling make them impermissible to use or is it completely fine if used in the aforementioned context?

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If a game is specific for gambling only, it’s not permissible. If it’s used for both as mentioned, then it may be used for non gambling purpose except the cards which are very common in gambling, it can’t be used for non gambling also. Things like dice are not so specific with gambling and are used for normal playing also it can be used for non gambling games without any bet.