You have a bucket with 32 fair coins, i.e., if flipped, each coin has a 50% chance of coming up heads and 50% chance of coming up tales. You add an extra coin to the bucket, but this coin has heads in both sides.

You have a bucket with 32 fair coins, i.e., if flipped, each coin

has a 50% chance of coming up heads and 50% chance of coming up tales. You add an extra coin to the bucket, but this coin has heads in both sides.
You shake the bucket and pick one coin at random. What is the probability that you selected the double-headed coin?

0

1/33

1

1/32

1/2

 
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