“You and a friend are playing a game with two dice. Your friend throws the dice and covers them before you can see them. She then reveals one die to be a six. What’s the probability that the other one is also a six?”

This seems to be the question the author intended to ask:

‘You and a friend are playing a game with two dice. Your friend throws the dice and covers them before you can see them. She then tells you one of the dice fell on a six. What’s the probability that she rolled a double six?’

The answer to the first question is 1 in 6.

The answer to the second question is 1 in 11.

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