A standard deck of playing cards consists of 52 cards. Each card has a rank and a suit. There are 13possible ranks (A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K), 4 possible suits (spades, clubs, hearts, diamonds),and 13 cards in each suit (one of each rank).A hand of 9 cards is drawn from a standard deck of 52 cards (assume all outcomes are equallylikely).For each of the following questions, you should write your answer as an expression. Do not give thefinal numeric value. For example, you should write C(4, 2)/24) instead of 0.375. What is the probability that a hand of 9 cards has four cards of one suit and five cards ofanother suit (for example, four hearts and five diamonds)?

To find the probability of getting four cards of one suit and five cards of another suit in a hand…

Answered: A standard deck of playing cards…

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter4: Selection Structures

Section: Chapter Questions

Problem 14PP

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In the game of blackjack, the cards 2 through 10 are counted at their face values, regardless of suit, all face cards (jack, queen, and king) are counted as 10, and an ace counted as either 1 or 11, depending on the total count of all the cards in a player's hand. The ace is counted as 11 only if the resulting total value all cards in a player's hand. The ace is counted as 11 only if the resulting total value of all cards in a player's hand does not exceed 21, else it is counted as a 1. Using this information write a C++ program that accepts three card values as inputs (a1 corresponding to an ace, a2 corresponding to a two, and so on), calculates the total value of the hand appropriately, and displays the value of the three cards with a printed message.
Q. There is an island that has two kinds of inhabitants, knights, who always tellthe truth, and their opposites, knaves, who always lie. It is assumed that every inhabitant of theisland is either a knight or a knave. Below there are 3 inhabitants, who are denoted by A, B andC.A. What are A, B and C if A says “If B is a knave then C is a knave”, and B says “If Cis a knight then A is a knave”? Briefly explain your reasoning.B. What are A,B and C if A says “B is a knight and C is a knight”, and B says “A is aknight if and only if C is a knave”? Briefly explain your reasoning.
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1. Big-O Notation Let f and g be functions from the set of integers or the set of real numbers to the set of real numbers. We say that f ( x ) is O ( g ( x ) ), read as "f ( x ) is big-oh of g ( x )", if there are constants C and k such that | f ( x ) | ≤ C | g ( x ) | whenever x > k. (a) Show that f(x) = x2 + 2x + 1 is O(x2) Solution: When x>1; ? 2 (1 + 2 ? + 1 ? 2 ) < ? 2 (1 + 2 1 + 1 1 2 ) = 4? 2 So, ??? ? > 1, ? 2 + 2? + 1 < 4? 2 From the definition 0 ≤ f(x) ≤ cg(x) for x≥1 Hence, for N0 = 1; c=4; and g(x)=x2 for N0 = 2; c=3; and g(x)=x2 for N0 = 3; c=2; and g(x)=x2 … Therefore, ? ? + ?? + ? = ?(? ? ) O(g(x)) = {f(x)|there exist positive constant c and N0 such that 0 ≤ f(x) ≤ cg(x) for all x≥N0} 2. Show that 7x2 is O(x3). 3. Suppose there are x number of boxes to be delivered to x number of household that is 2km apart, what is the distance travelled by the transport delivery service? 4. In number 3, suppose that each boxes…
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When you use a mortgage to purchase a home, the lending institution effectively owns the home. You buy back part ownership in the home with each monthly payment. The part you have bought back is your equity in the home. If the mortgage amount is P dollars, the monthly interest rate is r as a decimal, and the term of the mortgage is t months, then your equity after k payments is E(k) = P((1 + r)k − 1) (1 + r)t − 1 dollars. In this exercise, assume that the mortgage amount is $200,000, the APR is 6% so r = .06/12 and the term of the loan is 30 years (360 months). (a) Find a formula for the equity. (b) Make a graph of the equity over 360 months, the term of the loan. (c) Does the graph show that you have half-ownership in the home halfway through the term of the mortgage? Halfway through the term of the mortgage corresponds to k1 = _______ payments. From the graph, we see that E(k1) is ________ half of the mortgage amount, so we _______ have half-ownership in the home…
10. Let p be the statement “He gets frustrated.” and q be the statement “He will be able to complete the job.” Translate ~(p ∧ q) into the equivalent statement.

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