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In: Math

Magic the Gathering is a popular card game. Cards can be land cards, or other cards....

Magic the Gathering is a popular card game. Cards can be land cards, or other cards. We consider a game with two

players. Each player has a deck of 40 cards. Each player shuffles their deck, then deals seven cards, called their hand.

(a) Assume that player one has 10 land cards in their deck and player two has 20. With what probability will each player

have four lands in their hand?

(b) Assume that player one has 10 land cards in their deck and player two has 20.With what probability will player one have

two lands and player two have three lands in hand?

(c) Assume that player one has 10 land cards in their deck and player two has 20. With what probability will player two

have more lands in hand than player one?

Please answer all questions and show working

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