Using probabilities, it is found that the expected profit of one round of this game is of $0.
A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- One of the two sides of the coin are heads.
- 2 of the 6 sides of the dice are 3 or 6.
Hence, since the coin and the dice are independent, the <em>probability </em>of winning is:

The expected value is the <u>sum of each outcome multiplied by its respective probability</u>.
In this problem:
probability of earning $30.
probability of losing $6.
Then:

The expected profit of one round of this game is of $0.
A similar problem is given at brainly.com/question/24855677
Answer: Hope this is what your looking for :)
Step-by-step explanation:
Answer: z^3 - 3z^2 + 10 z - 30