In a Tic-Tac-Toe game, which player is assured of a win? O Second Player There is no way of knowing. O First Player
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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 4/9In the take-chips-away game (with Misère play rules):(a) if the number of chips on the table is 15, does this represent a P-position or N-position? Describe the winning strategy.(b) if the number of chips on the table is 8, does this represent a P-position or N-position? Describe the winning strategy.: You have a basketball hoop and someone says that you can play one of two games.Game 1: You get one shot to make the hoop.Game 2: You get three shots and you have to make two of three shots.If p is the probability of making a particular shot, for which values of p should you pick one gameor the other?
- How would I get one of the players to win instead of none?If A moves first, who will win a 400+1 game? What is the first move?You must have played this 2 player game, in which there are 9 holes where one player mark Cross and the otherPlayer places Ovals in the game and there are multiple situations at the end of the game in which are as follows.1. Player 1 wins if he became able to mark 3 Cross in any of the row.2. Player 1 wins if he became able to mark 3 Cross in any of the column.3. Player 1 wins if he became able to mark 3 Cross in any of the diagonals of the holes.4. Player 2 wins if he became able to mark 3 Ovals in any of the row.5. Player 2 wins if he became able to mark 3 Ovals in any of the column.6. Player 2 wins if he became able to mark 3 Ovals in any of the diagonals of the holes.7. Match is drawn if all holes are filled but no one could win.Now what is requirement by your side, you have to write a Java program described below1. Create 9 variables of type integer with names given below, which will act like the holes of the game.a. hole1, hole2, hole3, hole4, hole5, hole6, hole7, hole8 and hole9…
- Imagine playing a number guessing game. A side is a number from 0 to Nhe's holding it, and the other side is trying to find that number by taking turns guessing. Number-holding side estimatehe has to offer one of the following three options in response to the party that did it:1-Your guess is correct, you found the number I kept (Game Over).2-Your estimate is wrong, but you are closer to the correct estimate than the previous estimate.3-the wrong estimate and the correct estimate are further away than the previous estimate.To find the estimated number in an environment where all the information is these, astrategy will be followed: Make a prediction (N/2) from the exact middle of N with 1 Begin:Find out the answer to your guess. [answer=answer_ogren (guess)]If the answer is equal to 1, the game is over, you can leave.If the answer is equal to 2, you are going in the right direction, keep the forecast direction;If you're heading for small numbers, the new N is now N/2.Make a guess…You have made it to the final round of “Let’s Make aDeal.” You know that there is $1 million behind either door1, door 2, or door 3. It is equally likely that the prize isbehind any of the three doors. The two doors without a prizehave nothing behind them. You randomly choose door 2.Before you see whether the prize is behind door 2, Montychooses to open a door that has no prize behind it. For thesake of definiteness, suppose that before door 2 is opened,Monty reveals that there is no prize behind door 3. You nowhave the opportunity to switch and choose door 1. Shouldyou switch?Use a spreadsheet to simulate this situation 400 times.For each “trial” use an @Risk function to generate the doorbehind which the prize lies. Then use another @Riskfunction to generate the door that Monty will open. Assumethat Monty plays as follows: Monty knows where the prizeis and will open an empty door, but he cannot open door 2.If the prize is really behind door 2, Monty is equally likelyto open door 1 or…Somebody tosses a fair coin and if the result is heads, you get nothing, otherwise you get $5. How much would you pay to play this game? What if the win is $500 instead of $5?
- You are given $500 to start the game.Every time you spin the wheel you have a chance of:S - Splitting your money in half.P - Plunging to zero. (You lose.)I - Increasing your money to double.N - Never needing money again! (You win!)You may quit at any time and go home with your current winnings.Current winnings = $500 - SPIN? (Y/N) ySPINNING . . .S - winnings will be split in halfCurrent winnings = $250 - SPIN again? (Y/N) ySPINNING . . .I - winnings will be increased by doubling you current winningsCurrent winnings = $500 - SPIN again? (Y/N) ySPINNING . . .I - winnings will be increased by doubling you current winningsCurrent winnings = $1000 - SPIN again? (Y/N) ySPINNING . . .I - winnings will be increased by doubling you current winningsCurrent winnings = $2000 - SPIN again? (Y/N) ySPINNING . . .N - never need money againYOU WIN!!!Total winnings = $1000000000 - thanks for playing!Raghu and Sayan both like to eat (a lot) but since they are also looking after their health, they can only eat a limited amount of calories per day. So when Kuldeep invites them to a party, both Raghu and Sayan decide to play a game. The game is simple, both Raghu and Sayan will eat the dishes served at the party till they are full, and the one who eats maximum number of distinct dishes is the winner. However, both of them can only eat a dishes if they can finish it completely i.e. if Raghu can eat only 50 kCal in a day and has already eaten dishes worth 40 kCal, then he can't eat a dish with calorie value greater than 10 kCal.Given that all the dishes served at the party are infinite in number, (Kuldeep doesn't want any of his friends to miss on any dish) represented by their calorie value(in kCal) and the amount of kCal Raghu and Sayan can eat in a day, your job is to find out who'll win, in case of a tie print “Tie” (quotes for clarity). Input:First line contains number of test…Assuming that you are only using one deck, and there are only four cards on the table. If you have a 10 and a 7 showing, the dealer has a 10 showing, calculate the probability of the dealer's other card being an 8, 9, or a face card.