Reference no: EM133411844

Question: In the carnival game? Under-or-Over-Seven, a pair of fair dice is rolled? once, and the resulting sum determines whether the player wins or loses his or her bet. For? example, using method?one, the player can bet $3.50 that the sum will be under? 7, that?is, 2,? 3, 4,? 5, or 6. For this? bet, the player wins $3.50 if the result is under 7 and loses $3.50 if the outcome equals or is greater than 7.? Similarly, using method? two, the player can bet $3.50 that the sum will be over? 7, that? is, 8,? 9, 10,? 11, or 12.? Here, the player wins $3.50 if the result is over 7 but loses $3.50 if the result is 7 or under. A third method of play is to bet $3.50 on the outcome 7. For this? bet, the player wins $14.00 if the result of the roll is 7 and loses $3.50 otherwise. Complete part? (a) Construct the probability distribution representing the different outcomes that are possible for a ?$3.50 bet using method two and three. X P(X)