10. Little Susie is trying to train her new puppy. She is trying to figure out when the puppy should get a dog biscuit as a reward. She has concluded the following: 1. Give the puppy a biscuit if it sits and wiggles but does not bark. 2. Give the puppy a biscuit if it barks and wiggles but does not sit. 3. Give the puppy a biscuit if it sits but does not wiggle or bark. 4. Give the puppy a biscuit if it sits, wiggles and barks. 3. Don't give the puppy a treat otherwise. Use the following:
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- A spinner with three equal sections is being used in a game. One section is labeled “0 points,” and two sections are labeled “2 points.” A player can decide not to spin the spinner and score 1 point. Each player gets one turn, and the player with the higher score wins; in case of a tie, the winner is decided by one flip of a fair coin. Alex takes his turn first. Eddie, knowing Alex’s score, takes his turn next. If both players use strategies that maximize their winning probabilities, what is the probability that Alex wins? a 1/3 b 1/2 c 2/3 d 4/9You visit an island of Knights, Knaves, and Spies. Knights always tell the truth, Knaves always lie, while Spies can say anything (truth or lie). You meet three inhabitants, John, Bill, and Tom. One is a Knight, one is a Knave, and one is a Spy. John says: “I am a knight", Bill says: “John is telling the truth," and Tom says: “I am the spy!". Determine what type of people John, Bill, and Tom areQ. 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.
- Jack and Jill will play a game called Hotter, Colder. Jill chooses a number from 0 to 100, and Jack makes repeated attempts to guess it. For each guess, Jill will respond with: hotter - if the current guess is closer to her number than the previous guess is colder - if the current guess is farther to her number than the previous guess is same - if the current guess is as far (to her number) as the previous guess is For Jack’s first guess, since there is no previous guess yet, Jill will just answer same. Describe an algorithm or a systematic approach that Jack can follow to win the games faster (fewer guesses). Example: Jill chooses number 40. Note: Jack can guess any number from 0 to 100 at any point of the game. Jack guesses 100. Jill responds same (first guess) Jack guesses 60. Jill responds hotter (60 is closer to 40 than previous guess 100) Jack guesses 80. Jill responds colder (80 is farther from 40 than previous guess 60) Jack guesses…A hungry mouse wants to eat all four fruits in a maze such as the one below, in as few moves as possible.. At each turn the mouse can move any number of squares in one of the directions up, down, left or right, but it is not allowed to enter (or jump over) any walls (i.e., the black squares). Thus, the mouse moves just like a rook in chess. To eat a fruit, the mouse has to stop at that square. Assume that the maze has 4 fruits, and the size of b xh squares. 1. Give a suitable representatión of the states in this searching problem. 2. How many possible actions can the mouse perform at each move? (1.e., what is the branching factor?)The Monty Hall game is a statistical problem: there is a TV show (like the Monty Hall show) that allows contestants to choose between three doors, A, B, and C. Behind one of these doors is a new car (the winning door), and behind the other two are goats (the losing doors). After the contestant makes a choice, the game show host shows a goat behind one of the doors NOT chosen. The contestant is then given a choice to either switch to the other, non-opened door, or stick with their original guess. The interesting part of this “game" is the statistics involved –a person has a 1/3 chance of originally picking a winning door. The other door – that which is not revealed to have a goat but also was not originally chosen – actually has a 2/3 chance of being a winning door. Therefore, it is in the contestant's best interest to switch doors. You will create a program that simulates the Monty Hall game, where the computer plays the role of the host. The program must have no outputs, but 1) Ask…
- The Monty Hall game is a statistical problem: there is a TV show (like the Monty Hall show) that allows contestants to choose between three doors, A, B, and C. Behind one of these doors is a new car (the winning door), and behind the other two are goats (the losing doors). After the contestant makes a choice, the game show host shows a goat behind one of the doors NOT chosen. The contestant is then given a choice to either switch to the other, non-opened door, or stick with their original guess. The interesting part of this “game" is the statistics involved-a person has a 1/3 chance of originally picking a winning door. The other door chosen – actually has a 2/3 chance of being a winning door. Therefore, it is in the contestant's best interest to switch doors. that which is not revealed to have a goat but also was not originally You will create a program that simulates the Monty Hall game, where the computer plays the role of the host. The program must have no outputs, but 1) Ask the…Let's begin with a lesson in roulette. Roulette is a casino game that involves spinning a ball on a wheel that is marked with numbered squares that are red, black, or green. Half of the numbers 1–36 are colored red and half are black and the numbers 0 and 00 are green. Each number occurs only once on the wheel. We can make many different types of bets, but two of the most common are to bet on a single number (1–36) or to bet on a color (either red or black). These will be the two bets we will consider in this project. After all players place their bets on the table, the wheel is spun and the ball tossed onto the wheel. The pocket in which the ball lands on the wheel determines the winning number and color. The ball can land on only one color and number at a time. We begin by placing a bet on a number between 1 and 36. This bet pays 36 to 1 in most casinos, which means we will be paid $36 for each $1 we bet on the winning number. If we lose, we simply lose whatever amount of money we…Let's begin with a lesson in roulette. Roulette is a casino game that involves spinning a ball on a wheel that is marked with numbered squares that are red, black, or green. Half of the numbers 1–36 are colored red and half are black and the numbers 0 and 00 are green. Each number occurs only once on the wheel. We can make many different types of bets, but two of the most common are to bet on a single number (1–36) or to bet on a color (either red or black). These will be the two bets we will consider in this project. After all players place their bets on the table, the wheel is spun and the ball tossed onto the wheel. The pocket in which the ball lands on the wheel determines the winning number and color. The ball can land on only one color and number at a time. We begin by placing a bet on a number between 1 and 36. This bet pays 36 to 1 in most casinos, which means we will be paid $36 for each $1 we bet on the winning number. If we lose, we simply lose whatever amount of money we…
- Bowling involves 10 frames. Each frame starts with 10 pins. The bowler has two throws to knock all 10 pins down. The total score is the sum of pins knocked down, with some special rules. For the first 9 frames: If all 10 pins are knocked down on a frame's first throw (a "strike"), that frame's score is the previous frame plus 10 plus the next two throws. (No second throw is taken). If all 10 pins are knocked down after a frame's second throw (a "spare"), that frame's score is the previous frame plus 10 plus the next throw. In the 10th frame, if the bowler's first throw is a strike, or the first two throws yields a spare, the bowler gets a third throw. The 10th frame's score is the previous frame's score plus the pins knocked down in the 10th frame's two or three throws. Given integers represents all throws for a game, output on one line each frame's score followed by a space (and end with a newline). Note that the number of throws may be as few as 11 (strikes in first 9 frames,…Bowling involves 10 frames. Each frame starts with 10 pins. The bowler has two throws to knock all 10 pins down. The total score is the sum of pins knocked down, with some special rules. For the first 9 frames: If all 10 pins are knocked down on a frame's first throw (a "strike"), that frame's score is the previous frame plus 10 plus the next two throws. (No second throw is taken). If all 10 pins are knocked down after a frame's second throw (a "spare"), that frame's score is the previous frame plus 10 plus the next throw. In the 10th frame, if the bowler's first throw is a strike, or the first two throws yields a spare, the bowler gets a third throw. The 10th frame's score is the previous frame's score plus the pins knocked down in the 10th frame's two or three throws. Given integers represents all throws for a game, output on one line each frame's score followed by a space (and end with a newline). Note that the number of throws may be as few as 11 (strikes in first 9 frames,…Bowling involves 10 frames. Each frame starts with 10 pins. The bowler has two throws to knock all 10 pins down. The total score is the sum of pins knocked down, with some special rules. For the first 9 frames: If all 10 pins are knocked down on a frame's first throw (a "strike"), that frame's score is the previous frame plus 10 plus the next two throws. (No second throw is taken). If all 10 pins are knocked down after a frame's second throw (a "spare"), that frame's score is the previous frame plus 10 plus the next throw. In the 10th frame, if the bowler's first throw is a strike, or the first two throws yields a spare, the bowler gets a third throw. The 10th frame's score is the previous frame's score plus the pins knocked down in the 10th frame's two or three throws. Given integers represents all throws for a game, output on one line each frame's score followed by a space (and end with a newline). Note that the number of throws may be as few as 11 (strikes in first 9 frames,…