The trading card game Magic: the Gathering requires a deck to consist of at least 60 cards.The game begins with each player drawing an opening hand of 7 cards. Some of these cardsneed to be land cards, and how many you need depends on what kind of deck you arebuilding.Let’s say your deck needs an opening hand with either 2 or 3 land cards in it in order toconsistently execute your strategy. As you’re building the deck, you have a tough decisionto make: do you build a deck of 60 cards, including 20 land cards, OR do you add 1 moreland card, for a 61-card deck containing 21 lands, just to be safe? Let’s use our probabilitytools to determine if the extra land is worth it:(a) What is the probability of getting exactly 2 or 3 land cards in your openinghand if your deck has 20 land cards and 40 non-land cards in it?(b) What is the probability of getting exactly 2 or 3 land cards in your openinghand if your deck has 21 land cards and 40 non-land cards in it?

The trading card game Magic: the Gathering requires a deck to consist of at least 60 cards.The game begins with each player drawing an opening hand of 7 cards. Some of these cardsneed to be land cards, and how many you need depends on what kind of deck you arebuilding.Let’s say your deck needs an opening hand with either 2 or 3 land cards in it in order toconsistently execute your strategy. As you’re building the deck, you have a tough decisionto make: do you build a deck of 60 cards, including 20 land cards, OR do you add 1 moreland card, for a 61-card deck containing 21 lands, just to be safe? Let’s use our probabilitytools to determine if the extra land is worth it:(a) What is the probability of getting exactly 2 or 3 land cards in your openinghand if your deck has 20 land cards and 40 non-land cards in it?(b) What is the probability of getting exactly 2 or 3 land cards in your openinghand if your deck has 21 land cards and 40 non-land cards in it?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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