The bag contains 128 gold, 64 silver coins and several copper ones. The message that a copper coin was pulled out carries 1 bit

The bag contains 128 gold, 64 silver coins and several copper ones. The message that a copper coin was pulled out carries 1 bit of information. How many copper coins are in the bag?

Let x be copper coins
There are 64 gold and 128 silver coins in the bag, which means there are 64 + 128 + x coins in total
The probability of getting a copper coin is x / (64 + 128 + x)
(64 + 128 + x) / x = 2 ^ 1
x = 192
Answer: 192 copper coins



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