Question

In: Advanced Math

2. You’re playing a game of Magic: The Gathering with a deck that consists of 60...

2. You’re playing a game of Magic: The Gathering with a deck that consists of 60 cards, 24 of which are land cards. You draw an opening hand of seven cards which contains exactly one land and six non-lands. (For this problem, you are welcome to read and use the tools of this article1, but your answers must include clear explanations of the mathematical reasoning you’re using!)

(a) What is the probability of this event (that your hand of seven cards contains exactly one land)? Explain your answer clearly.

(b) On your first turn you draw a card from the top of your remaining deck (since you have seven cards in hand, 53 remain in the pile you’re drawing from). What is the probability that you draw a land on your first turn? Explain your answer clearly.

(c) What is the probability that you will draw on land on either your first draw or your second draw (or both)? Explain your answer clearly.

Hi! I hope all is well. Please use a method that is the most straightforward, and easiest to understand.

Many thanks!

Solutions

Expert Solution

Hope my answer helps you out. In case you have any doubt then please comment. I will reply asap. :)

Colby Messinger answered 1 month ago
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