A coin is tossed repeatedly, and a payoff of 2n dollars is made, where n is the number of the toss on which the first Head appears. So TTH pays $8, TH pays $4 and H pays $2. Write a program to simulate playing the game 10 times. Display the result of the tosses and the payoff. At the end, display the average payoff for the games played. A typical run would be:

Explanation:

The following code is written in Java. It creates a loop within a loop that plays the game 10 times. As soon as the inner loop tosses a Heads (represented by 1) the inner loop breaks and the cost of that game is printed to the screen. A test case has been made and the output is shown in the attached image below.

import java.util.Random;

import java.util.Scanner;

class {

   public static void main(String[] args) {

       int count = 0;

       int loopCount = 0;

       while (loopCount < 10) {

           while (true) {

               Random rand = new Random();

               int coinFlip = rand.nextInt(2);

               count++;

               if (coinFlip == 1) {

                   System.out.println("Cost: $" + 2*count);

                   count = 0;

                   break;

               }

               loopCount++;

           }

       }

   }

}

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