Problem 7 of 7
Compute expected value for decision win $100 with probability 1/4 and lose $10 with probability 3/4.
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.
Multiply outcomes by probabilities and sum gains, losses, and costs.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. List each outcome and probability.
2. Multiply each outcome by its probability.
3. Sum products and interpret the long-run average.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Averaging outcomes without probability weights.