n the carnival game Under-or-Over-Seven, a pair of fair dice is rolle example, u
ID: 3060091 • Letter: N
Question
n the carnival game Under-or-Over-Seven, a pair of fair dice is rolle example, using method one, the player can bet $3.50 that the sum wil 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 s the player wins $3.50 if the result is over 7 but loses $3.50 if the result is 7or 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 parts (a) through (d) E Click the icon to view a table of all possible outcomes of a two dice roll. d once, and the resulting sum determines whether the player wins or loses his or her bet. For um will be over 7, that is, 8,9, 10, 11, or 12. Here, a. Construct the probability distribution representing the different outcomes that are possible for a $3.50 bet using method one. P(X) (Type an exact answer in simplified form.)Explanation / Answer
a) The probability distribution of method I is
Given Palyer win $ 3.50 if the sum of two dice number is less than 7
and its probability is 1/36 + 2/36 + 3/36 + 4/36 + 5/36 =15/36
Plare losses -$3.50 if the sum of two dice number is >= than 7
and its probability is 1/36 + 2/36 + 3/36 + 4/36 + 5/36 + 6/36 = 21/36
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