a game is played as follows: the player pays $10 and rolls a pair of fair dice and tosses a fair coin twice. The player is paid according to the following outcomes: $35 if one heard appears and 5,6 or 9.; $50 if two heads appear and 7; $45 if two trails appear and a 2 or 3; and $25 if one tail appears and an 11 or 12. Is this a fair game? Reason Solution Calculate the probabilities for each case and check if the reward/ profit are in the same ratio as their corresponding probabilities. If they are, the game is fair otherwise not..

1. a game is played as follows: the player pays $10 and rolls a pair of fair dice and tosses a fair coin
twice. The player is paid according to the following outcomes: $35 if one heard appears and 5,6
or 9.; $50 if two heads appear and 7; $45 if two trails appear and a 2 or 3; and $25 if one tail
appears and an 11 or 12. Is this a fair game? Reason
Solution
Calculate the probabilities for each case and check if the reward/ profit are in the
same ratio as their corresponding probabilities. If they are, the game is fair otherwise not.