Answer:
C) -$8.89
Step-by-step explanation:
If he rolls two dice and gets the sum of 5, he wins $30.
If he gets the sum of 3, he wins $50
While rolling two dice, there are 36 possible outcomes (6^2) = 36
There are four possible ways (1,4 3,2 2,3 4,1)of obtaining the sum of 5 out of 36 possible outcomes.
The probability of expecting the sum of 5= 4/36
= 1/9
This means that on every try we expect $30/9
There are two possible ways (1,2 2 2,1)of obtaining the sum of 3 out of 36 possible outcomes.
The probability of expecting the sum of 5= 2/36
= 1/18
This means that on every try we expect $50/18
For every 9 rolls, you expect to get $30 and on every 18, you expect to get $50. On any particular roll, you should expect to gey
$30/9 + $50/18
= (60+50)/18
= 110/18
= $6.11
Given that each game he is playing cost $15. The overall expectations is to lose (15- 6.11) = $8.89 each time he plays.
Answer = -$8.89
