In a certain game, a coin is flipped 4 times. if exactly one head comes up then the player gets a $1 profit ($1 more than the cost of the ticket). if exactly 2 heads come up then the player gets a $2 profit. if exactly 3 heads come up then the player gets a $4 profit. if all 4 are heads then the player gets an $8 profit. if no heads come up then he or she loses the cost p of the ticket. what should the cost p of the ticket be to make it a fair game?