A standard deck of playing cards consists of 52 cards. Each card has a rank and a suit. There are 13 possible 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 equally likely). For each of the following questions, you should write your answer as an expression. Do not give the final 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 of another suit (for example, four hearts and five diamonds)?
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- One variation on the game of nim is described in Luger. The game begins with a single pile of stones. The move by a player consists of dividing a pile into two piles that contain an unequal number of stones. For example, if one pile contains six stones, it could be subdivided into piles of five and one, or four and two, but not three and three. The first player who cannot make a move loses the game. (5.1) Draw the complete game tree for this version of Nim if the start state consists of six stones. (5.2) Perform a minimax evaluation for this game. Let 1 denote a win and 0 a loss.Artificial intelligence (Question - 6) ======================= One variation on the game of nim is described in Luger. The game begins with a single pile of stones. The move by a player consists of dividing a pile into two piles that contain an unequal number of stones. For example, if one pile contains six stones, it could be subdivided into piles of five and one, or four and two, but not three and three. The first player who cannot make a move loses the game.(6.1) Draw the complete game tree for this version of Nim if the start state consists of six stones.(6.2) Perform a minimax evaluation for this game. Let 1 denote a win and 0 a loss.In OCaml Programming Language:
- One hundred tickets, numbered 1, 2, 3, . . . , 100, are sold to 100 different people for a drawing.Four different prizes are awarded, including a grand prize. How many ways are there to awardthe prizes if:a) the person holding ticket 35 wins the grand prize?b) the person holding ticket 64 wins one of the prizes?c) the person holding ticket 18 does not win a prize?d) the people holding tickets 30 and 50 both win prizes?Texas Hold em poker game 2 to 8 human or computer players Each player has a name and stack of chips Computer players have a difficulty setting: easy, medium, hard Summary of each hand:o Dealer collects ante from appropriate players, shuffles the deck, and deals eachplayer a hand of 2 cards from the deck.o A betting round occurs, followed by dealing 3 shared cards from the deck.o As shared cards are dealt, more betting rounds occur, where each player can fold,check, or raise.o At the end of a round, if more than one player is remaining, players' hands arecompared, and the best hand wins the pot of all chips bet so far. What classes are in this system? What are their responsibilities? Which classes collaborate? Create the Use Cases for this systemCreate a Use Case diagram for this system Draw a class diagram for this system. Include relationships between classes (generalization andassociational).Problem D: Different Dice Game Consider the following game for two players: The first player rolls a pair of dice of fair six-sided dice. If the two dice show different numbers, the player's score is the larger of the two numbers. Otherwise, the player's score is the sum of the two numbers. At this point, the player is asked if they want to remove their lower die and re-roll one die. If they say no, the player keeps her score and their turn is over. If they say yes, then they roll one more die and the number showing on this die replaces the lower of the original two rolls. Then these two dice rolls are scored accordingly. (For example, if the initial roll was a 2 and 5, if the player doesn't roll again, she gets 5 points. If she does roll again and obtains a 4, her score is still 5. If she rolled again and obtained a 6, her score would be a 6. If she rollwed again and obtained a 5, her score would be a 10.) The second player goes after the first, doing the exact same steps as the first…
- Required: Amitabh had a magical cat. That cat once fell down an empty well. As the walls of the well were not completely vertical, the cat could climb up the well. In one day, the cat can climb 1 unit height and the height of the well is h units. The cat starts at the bottom. Every day, a cat would divide into 2 cats. One of them would climb up 1 unit. The other would wait for help. But while waiting it would fall asleep and roll down 1 unit, unless it is already at the bottom, in which case it just remains there. When a cat would reach the top, it would run home toAmitabh. (Schrodinger doesn't know that some of the cats are in a well and so he can't rescue them). It has been d days since the cat fell into the well. How many cats would come out of the well today? You would notice that the number of cats grows very large with each passing day, so output the answer modulo 10^9+7. d = 0 means that the cat has fallen just now and so there's just one cat at the bottom of the well. So you…Celebrity problem A celebrity among a group of n people is a person who knows nobody but is known by everybody else. The task is to identify a celebrity by only asking questions to people of the form: ”Do you know him/her?” Solution Select two people from the group given, say, A and B, and ask A whether A knows B. If A knows B, remove A from the remaining people who can be a celebrity; if A doesn’t know B, remove B from this group. Solve the problem recursively for the remaining group of people who can be a celebrity Which design strategy does the following solution use? A-)Decrease-by-a-constant factor algorithm B-)Variable-size-decrease algorithm C-)Decrease-by-a-constant algorithm D-)Divide-and-ConquerCorrect answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. anglers have recently gotten back from a fishing excursion. The I-th angler has gotten a fish of weight man-made intelligence. Anglers will flaunt the fish they got to one another. To do as such, they initially pick a request where they show their fish (every angler shows his fish precisely once, in this way, officially, the request for showing fish is a stage of integers from 1 to n). Then, at that point, they show the fish they discovered by the picked request. At the point when an angler shows his fish, he may either become glad, become dismal, or stay content. Assume an angler shows a fish of weight x, and the most extreme load of a formerly shown fish is y (y=0 if that angler is quick to show his fish). Then, at that point: in the event that x≥2y, the angler becomes cheerful; in the event that 2x≤y, the angler becomes miserable; in the event that none of these two…
- Python tic tac toe. Tic tac toe is a very popular game. Only two players can play at a time. Game Rules Traditionally the first player plays with "X". So you can decide who wants to go with "X" and who wants to go with "O". Only one player can play at a time. If any of the players have filled a square then the other player and the same player cannot override that square. There are only two conditions that may match will be a draw or may win. The player that succeeds in placing three respective marks (X or O) in a horizontal, vertical, or diagonal row wins the game. Winning condition Whoever places three respective marks (X or O) horizontally, vertically, or diagonally will be the winner. Submit your code and screenshots of your code in action. Hints : Have a function that draws the board Have a function that checks position if empty or not Have a function that checks player or won or not expected output:Python tic tac toe. Tic tac toe is a very popular game. Only two players can play at a time. Game Rules Traditionally the first player plays with "X". So you can decide who wants to go with "X" and who wants to go with "O". Only one player can play at a time. If any of the players have filled a square then the other player and the same player cannot override that square. There are only two conditions that may match will be a draw or may win. The player that succeeds in placing three respective marks (X or O) in a horizontal, vertical, or diagonal row wins the game. Winning condition Whoever places three respective marks (X or O) horizontally, vertically, or diagonally will be the winner. Submit your code and screenshots of your code in action. Hints : Have a function that draws the board Have a function that checks position if empty or not Have a function that checks player or won or not expected output:Othello is played as follows: Each Othello piece is white on one side and black on the other. When a piece is surrounded by its opponents on both the left and right sides, or both the top and bottom, it is said to be captured and its color is flipped. On your turn, you must capture at least one of your opponent's pieces. The game ends when either user has no more valid moves. The win is assigned to the person with the most pieces. Implement the object-oriented design for Othello.