Let's break down the problem step by step:

1. There are three possible coins: HH (heads-heads), TT (tails-tails), and HT (heads-tails).
2. You picked a coin at random and flipped it, revealing heads.
3. Since you saw heads, the coin cannot be the TT coin.
4. Now there are only two possible coins left: HH and HT.
5. The probability of picking the HH coin is 1/2 since there are two remaining possibilities.

Final answer: The probability that the other side also shows heads is 1/2.
You are given three identical-looking coins. One coin has heads on both sides, another has tails on both sides, and the third has heads on one side and tails on the other. You pick a coin at random and flip it, revealing heads. What is the probability that the other side also shows heads?