• Prismatic Cards: A prismatic card will be a card that counts as having every suit. We will denote, e.g., a prismatic Queen card by Q*. With this notation, 2.3045 Q would be a double flush since every card is a diamond and a heart. • Wild Cards: A wild card counts as having every suit and every denomination. Denote wild cards with a W; if there are multiple, we will denote them W₁, W2, etc. With this notation, W2 20.30054 would be both a three-of-a-kind (three 2's) and a flush (5 diamonds). If we add multiple wild cards to the deck, they count as distinct cards, so that (e.g.) the following two hands count as "different hands" when counting: W15 5Q and W255◊♡♡♣♣ In addition, 1. Let's start with the unmodified double-suited deck. (a) Call a hand a flush house if it is a flush and a full house, i.e. if all cards share a suit and there are 3 cards of one denomination and two of another. For example, 550. house. How many different flush house hands are there? 2. Suppose we add one wild card to the base double-suited deck. (a) How many different double flush hands are there? (b) How many different five-of-a-kind hands are there? Jis a flush (c) How many different hands are there that contain a pair? (Note: "contain a pair" means that three-of-a-kind counts as well.) 3. Suppose we add one prismatic card of each denomination to the base double-suited deck. (a) How many different double flush hands are there? (b) How many different flush house hands are there?
• Prismatic Cards: A prismatic card will be a card that counts as having every suit. We will denote, e.g., a prismatic Queen card by Q*. With this notation, 2.3045 Q would be a double flush since every card is a diamond and a heart. • Wild Cards: A wild card counts as having every suit and every denomination. Denote wild cards with a W; if there are multiple, we will denote them W₁, W2, etc. With this notation, W2 20.30054 would be both a three-of-a-kind (three 2's) and a flush (5 diamonds). If we add multiple wild cards to the deck, they count as distinct cards, so that (e.g.) the following two hands count as "different hands" when counting: W15 5Q and W255◊♡♡♣♣ In addition, 1. Let's start with the unmodified double-suited deck. (a) Call a hand a flush house if it is a flush and a full house, i.e. if all cards share a suit and there are 3 cards of one denomination and two of another. For example, 550. house. How many different flush house hands are there? 2. Suppose we add one wild card to the base double-suited deck. (a) How many different double flush hands are there? (b) How many different five-of-a-kind hands are there? Jis a flush (c) How many different hands are there that contain a pair? (Note: "contain a pair" means that three-of-a-kind counts as well.) 3. Suppose we add one prismatic card of each denomination to the base double-suited deck. (a) How many different double flush hands are there? (b) How many different flush house hands are there?
Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter15A: Auction Design And Information Economics
Section: Chapter Questions
Problem 10E
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Transcribed Image Text:• Prismatic Cards: A prismatic card will be a card that counts as having every suit. We will denote,
e.g., a prismatic Queen card by Q*. With this notation, 2.3045 Q would be a double flush
since every card is a diamond and a heart.
• Wild Cards: A wild card counts as having every suit and every denomination. Denote wild cards with
a W; if there are multiple, we will denote them W₁, W2, etc. With this notation, W2 20.30054
would be both a three-of-a-kind (three 2's) and a flush (5 diamonds). If we add multiple wild cards
to the deck, they count as distinct cards, so that (e.g.) the following two hands count as "different
hands" when counting:
W15 5Q and W255◊♡♡♣♣
In addition,
1. Let's start with the unmodified double-suited deck.
(a) Call a hand a flush house if it is a flush and a full house, i.e. if all cards share a suit and there
are 3 cards of one denomination and two of another. For example, 550.
house. How many different flush house hands are there?
2. Suppose we add one wild card to the base double-suited deck.
(a) How many different double flush hands are there?
(b) How many different five-of-a-kind hands are there?
Jis a flush
(c) How many different hands are there that contain a pair? (Note: "contain a pair" means that
three-of-a-kind counts as well.)
3. Suppose we add one prismatic card of each denomination to the base double-suited deck.
(a) How many different double flush hands are there?
(b) How many different flush house hands are there?
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