Question: We have an opaque case with 4 cards A and 4 cards B. Mike draws one card randomly from the case at a time. The

We have an opaque case with 4 cards A and 4 cards B. Mike draws one card randomly from the case at a time. The rule is: if Mike draws card A, he keeps the card. If Mike draws card B, he puts the card back in the case. Calculate: How many times, on average, does Mike have to draw cards from the case to keep all of the four cards A?

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