Let p and q be the following propositions p = "I buy a lottery ticket this week" q = "I win the million-dollar" jackpot". Which of the following is the inverse of the implication p→q expressed in words? If I won a millian-dollar jackpot, then I bought a lottery ticket this week. I win the million-dollar jackpot if I buy a lottery ticket this week O I didn't buy a lottery ticket and I didn't win the million-dollar jackpot O I didn't buy a lottery ticket this week and I didn't win the million-dollar jackpot

Let p and q be the following propositions p = "I buy a lottery ticket this week" q = "I win the million-dollar" jackpot". Which of the following is the inverse of the implication p→q expressed in words? If I won a millian-dollar jackpot, then I bought a lottery ticket this week. I win the million-dollar jackpot if I buy a lottery ticket this week O I didn't buy a lottery ticket and I didn't win the million-dollar jackpot O I didn't buy a lottery ticket this week and I didn't win the million-dollar jackpot

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Similar questions

A thief is about to rob the house. The cops are on their way. He has to quickly fill his bag and escape. Considering the items listed below, list the items to include in his bag so that the total weight is less than or equal to 10kg (the weight limit) and the total benefit is maximized. TV: 5kg - 9$ Jewelry : 2kg - 7$ (probably imitation) Clock : 2kg - 3$ An old radio : 4kg - 2$ Show me the array representation, if you want to take full credits.
2. Translate the following into propositional logic a. If Ana eats, Bret eats b. Charles eats and Derek doesn't eat c. Bret doesn't eat d. If Derek doesn't eat at least one among Ana, Earl, and Fred eats e. If at least one of Charles and Gary eats, Earl doesn't eat Using the premises in Q2, show that Fred eats
Consider the following propositions: p="lt is cloudy" q="lt is rainy" r="I will play outside" s="I will stay at home" Select the inverse (s) of the follwing sentence: "I will stay at home and I will not play outside unless it is neither cloudy nor rainy" SA -r→pv q "pA 79- 7s vr svr-¬pv -g Osvr+-p A ¬g None of all the proposed answers
8
3. Express the following English sentences using propositional functions, quantifiers and logical connections. (a) Someone in the class is helped by everyone in the class. (b) There is a hard working student in the class who has not been helped by any student in class. (c) For everyone in the class, someone who is smart has helped him/her. SO (d) There are two people in the class who have not helped each other. (e) There is a hard working student in the class who is helped by every smart student in class. (f) There are some companies that hire only hard working students.
A detective has interviewed four witnesses to a crime. From the stories of the witnesses the detective has concluded that: If the handyman is lying, then so is the butler. The gardener and the handyman cannot both be telling the truth. The cook and the gardener are not both lying. The handyman is telling the truth only if the cook is lying. For each of the four witnesses, can the detective determine whether that person is telling the truth or lying? Use the truth table to explain your reasoning (Give the full truth table). Please use the following notations in your reasoning – B: The butler is telling the truth. C: The cooking is telling the truth. G: The gardener is telling the truth. H: The handyman is telling the truth.
There are three financial aid counselors. If a student’s last initial is from A – H, let them know that their counselor is Jon Stewart. If a student’s last initial is from I – Q, let them know that their counselor is Chelsea Handler. If a student’s last initial is from R – Z, let them know that their counselor is Brian Williams.Ask student for the FICO score, if it’s less than 660 tell that this student cannot have a loan.
2. Let's consider a compound propositions where A ="Angelo comes to the party", C="Carlo comes to the party", Represent the following statements into a Boolean expression: "If David comes to the party then Bruno and Carlo come too" a) b) c) d) e) B = "Bruno comes to the party", D="David comes to the party". "David comes to the party if and only if Carlo comes and Angelo doesn't come" "If David comes to the party, then, if Carlo doesn't come then Angelo comes" "Carlo comes to the party provided that David doesn't come, but, if David comes, then Bruno doesn't come" "Angelo, Bruno and Carlo come to the party if and only if David doesn't come, but, if neither Angelo nor Bruno come, then David comes only if Carlo comes"
Find a proposition with three variables p,q and r that is true when p and q are true, and r is false, and false otherwise. Construct a truth table to verify your answer
Question 46 The correct statements are: If L is finite, then ¬L must be in P. If L is finite, then ¬L must be in NP. If L₁ and L2 are finite, then L₁ U L₂ must be in P. If L₁ and L₂ are finite, then L₁ U L₂ must be in NP.
Consider the following game (anachronistically) called the battle of the sexes. Two brothers, Shahid and Jamil are spending their weekend in Philadelphia, but they have lost communication with each other and Shahid is coming from New York where Jamil is coming from Washington DC. They are trying to find out where they should meet when they arrive in Philadelphia: they want to meet up, and both know that Shahid prefers meeting at Reading Terminal Market (he's a foodie!) and Jamil prefers meeting at the Rocky Steps (he's a movie buff!). Not meeting up though would be the worst outcome as it's the city of brotherly love. Suppose the game is represented by the following payoff matrix with Jamil the row player: Rocky Steps Reading Terminal Market Rocky Steps 2,1 0,0 Reading Terminal Market 0,0 1,2 What is the expected value for each player in the mixed strategy Nash equilibria? 4/3 1.5 2 1 1/3
Let the predicate N(x) stand for " has visited North Dakota". Which of the following choices is equivalent to the statement "Someone has visited North Dakota"? Select 1 correct answer(s) 0 0 0 VxN(x) 3xN(x) 3xN(x) -VxN(x) 3x-N(x) Vx-N(x)