Building a probability distribution, it is found that the expected value for both players is of 0.25 points.
- The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.
In this problem, the four possible outcomes, considering Player A - Player B, are:
H - H
T - H
H - T
T - T
That is, considering a success as the number of heads, the distribution is:
For Player A, the earnings of each outcome are: -1, 0 and 2
Hence, the expected value is:
For Player B, the earning of each outcome are: 2, 0 and -1.
Hence:
The expected value for both players is of 0.25 points.
You can learn about expected value at brainly.com/question/24855677