Question: A multiple choice test has 20 questions, where each question has two options: true and false. A student either knows the answer to a question,

A multiple choice test has 20 questions, where each question has two options: true and false. A student either knows the answer to a question, or guesses at random (50:50% chance) if he/she does not know the answer.

On any question, the student knows the answer with probability 0.7

What is the probability that a question is answered correctly?

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