You and your friends are playing a game where there are 10 cards: 5 are red, 3 are blue, and 2 are green. Each player draws one card without replacement. The player who draws a green card is the winner. (a) If you have a choice of drawing first, second, or third, which position would you choose? Justify your choice on the basis of probability. (b) Now, suppose there are 4 green cards and 6 red cards in the deck. What position would you now choose? Justify your choice on the basis of probability. (c) Assuming that there is always at least one green card in the deck, what should be the number of green cards so that it would not matter for you to draw first or second? Justify your choice on the basis of probability.

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