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Two fair dice are rolled once. Find the probabilities of the following events happening: 1. Both numbers obtained are 5. 2. At least one of

Two fair dice are rolled once. Find the probabilities of the following events happening:

1. Both numbers obtained are 5.

2. At least one of the numbers obtained is 5.

3. A fair die is thrown twice. Given that the first throw is an even number, what is the probability that the sum of the numbers obtained is 7?

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