Answer:
a. [tex]\frac{1}{36}[/tex] chance you win.
b. The expected value of the game is -$2.08.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
You roll 2 die and if you toss 2 sixes
For each roll, 6 possible values, 1 of which is 6. So the probability of rolling two sixes is:
[tex]p = (\frac{1}{6})^2 = \frac{1}{36}[/tex]
a. What is the chance you win?
[tex]\frac{1}{36}[/tex] chance you win.
b. What is the expected value of the game?
1/36 probability of winning 100.
35/36 probability of losing 5. So
[tex]E = \frac{1}{36}*100 - \frac{35}{36}*5 = \frac{100 - 175}{36} = -\frac{75}{36} = -2.08[/tex]
The expected value of the game is -$2.08.
