| For the anniversary of the St. Petersburg Mathematical Olympiads, the mint has struck three commemorative coins. One coin turned out to be correct, on the second coin, both sides ended up with two eagles, and on the third coin, both sides were tails. The director of the mint randomly selected one of these three coins and tossed it. An eagle came up. What is the probability that the other side of this coin is also an eagle?
It is known that heads came up. Therefore, either the first or the second coin was chosen. In total, heads are depicted three times on these coins. In one of these three equally possible cases, tails is on the opposite side of the coin, and in the other two cases - heads.

## Answer

$2 / 3$.