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We have a small deck of ten cards. Five of the cards are red, three are blue and two are green. We randomly select four

We have a small deck of ten cards. Five of the cards are red, three are blue and two are green. We randomly select four cards from the deck with replacement. That is, after we select a card and record the colour, we place the card in the deck and throughly shuttle if before we select another card.The answer is (A)

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Now suppose that, instead of selecting four cards, we repeatedly select cards with re- placement (replacing the card and shuffling the deck after each draw) until we draw a green card for the first time. What is the probability that we draw our first green card on the fifth draw? (A) 0.0819 (B) 0.4096 (C) 0.1342 (D) 0.0554 (E) 0.1746

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