Java problem implement this specification. In addition, while Scanner input and System.out output will take place only in the main method, all solitaire game simulation and computation of the first player win probability estimate should take place in a method getAdvantage that takes an integer parameter for the number of games to simulate, and returns a double-precision floating-point first player win probability. The main method will read the desired number of simulations, call method getAdvantage with that number, and report the returned number in the specified format. Specification: First-Player Advantage Pig is a folk jeopardy dice game with simple rules: Two players race to reach 100 points. Each turn, a player repeatedly rolls a die until either a 1 ("pig") is rolled or the player holds and scores the sum of the rolls (i.e. the turn total). At any time during a player's turn, the player is faced with two decisions: roll - If the player rolls a 1: the player scores nothing and it becomes the opponent's turn. 2 - 6: the number is added to the player's turn total and the player's turn continues. hold - The turn total is added to the player's score and it becomes the opponent's turn. Problem: There is an advantage to going first in Pig, but how big an advantage is it for “hold at 20 or goal” play? We wish to estimate the probability of a first-player win with a hold-at-20-or-goal play policy. Simulate a given number of two-player Pig games where a player rolls until a 1 ("pig") is rolled, or the turn total is greater than or equal to 20, or the score plus the turn total is greater than or equal to 100. Report the fraction of games won by the first player. Input Format: Enter a single positive integer indicating the number of games simulated. (Larger numbers will tend to yield better estimations.) Output Format: Initially, prompt the user with "Games? ". After the simulations, print "Probability of first player win: " followed by the fraction of simulated games won by the first player
Java problem
implement this specification. In addition, while Scanner input and System.out output will take place only in the main method, all solitaire game simulation and computation of the first player win probability estimate should take place in a method getAdvantage that takes an integer parameter for the number of games to simulate, and returns a double-precision floating-point first player win probability. The main method will read the desired number of simulations, call method getAdvantage with that number, and report the returned number in the specified format.
Specification:
First-Player Advantage
Pig is a folk jeopardy dice game with simple rules: Two players race to reach 100 points. Each turn, a player repeatedly rolls a die until either a 1 ("pig") is rolled or the player holds and scores the sum of the rolls (i.e. the turn total). At any time during a player's turn, the player is faced with two decisions:
- roll - If the player rolls a
- 1: the player scores nothing and it becomes the opponent's turn.
- 2 - 6: the number is added to the player's turn total and the player's turn continues.
- hold - The turn total is added to the player's score and it becomes the opponent's turn.
Problem: There is an advantage to going first in Pig, but how big an advantage is it for “hold at 20 or goal” play? We wish to estimate the probability of a first-player win with a hold-at-20-or-goal play policy. Simulate a given number of two-player Pig games where a player rolls until a 1 ("pig") is rolled, or the turn total is greater than or equal to 20, or the score plus the turn total is greater than or equal to 100. Report the fraction of games won by the first player.
Input Format: Enter a single positive integer indicating the number of games simulated. (Larger numbers will tend to yield better estimations.)
Output Format:
- Initially, prompt the user with "Games? ".
- After the simulations, print "Probability of first player win: " followed by the fraction of simulated games won by the first player
Sample Transcript:
Games? 1000000 Probability of first player win: 0.534951
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