Problem 9 of 7
Compute expected value of the simple game: roll a fair six-sided die; win $10 if you roll a 6, lose $1 if you roll any other number.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
multiply outcomes by probabilities and sum.
Hidden until you reveal it.
Expected value is the sum of each net outcome times its probability.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. List each possible net outcome.
2. Multiply each outcome by its probability.
3. Sum the products.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Averaging outcomes without weighting by probability.