Please read the NEW question carefully. The final answer should be precise and important.For any calculation question, please keep all decimal places in your intermediate calculations. For the final answer, enter the number of decimal places as indicated in the question. Thanks

Arya is playing a game with a friend by rolling a fair die (i.e. the die has 6 faces each with probability 1/6 of being rolled). If Arya rolls 3 or below, she loses and has to pay her friend $3. If she rolls 4, it's a tie and no money is exchanged. If she rolls 5 or 6, she wins and her friend must pay her. How many dollars should Arya's friend pay her to make the game fair?"Fair" meaning that the expected winnings of the game is the same for Arya and her friend.