Question: Addie, a 2-year old math prodigy, is taking a multiple choice math test where each question has 5 possible answers. She knows the correct answer

Addie, a 2-year old math prodigy, is taking a multiple choice math test where each question has 5 possible answers. She knows the correct answer to 92% of all the questions. Addie has shaky fingers, so even when she knows the correct answer there is a 5% chance that she doesn’t select it. When she doesn’t know the correct answer she selects one of the possible answers at random.

If Addie selects the correct answer to a question, what is the probability that she actually knows the correct answer?

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