Barbara has a jar of coins, some Canadian, some U.S., and similarly, some quarters, some dimes. [There is no other nationality of coin, nor any other value of coin.] 70% are Canadian coins. Given that it is a Canadian coin, there is a 40% chance it is a quarter. Given that it is not a Canadian coin, there is a 40% chance it is a quarter. Are nationality and value independent? Or is impossible to tell? Please explain how you know.
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