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There are a couple of errors, that I could spot, but I just woke up so my math might also be wrong hahaha.
Correct
Almost, that's only true if the first one is the one you get right, but you can also get the second one right (3/4 * 1/4), meaning that it's double your answer, or 37.5% chance of getting at least one right.
56.25% as per above
That assumes you got both wrong the first time around.
Same as above, also same as getting the second one right.