You decide to spend some money and place a bet on the 2023 NFL Super Bowl. If the  Philadelphia Eagles currently have 19:1 odds and you place a $1000 bet: a. How much money could you potentially win? b. What would your expected value be?  c. Explain (using at least 2 sentences) what the expected value means.

Your friend convinces you to play a game where you roll a standard die one time. It costs $5 to play the game. If you roll a 3 or a 4 you win $9. Any other roll wins nothing. 4. Find the expected value of this game.

If you throw exactly one head in three tosses of a coin you win $37. If not, you pay me $27   Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.

There are 12 slips of paper in a hat. I will let you reach in and grab one, without looking. An amount of money is written on each piece of paper. One has $100, two have $50, three have $20, and the rest have $–20. If your paper has a positive amount, I will give you that amount in cash. If you get $–20, you must pay me $20. Calculate the expected value of playing the game.

The candy wheel at the boardwalk gives away an $ 8 box of candy to a person who successfully guesses the correct location from the 32 possible spaces. If the wheel cost $2 to play , what is the expected value of the candy wheel at the boardwalk? Describe what the answer is telling you about the boardwalk game.

Maria plays basketball and is a 64% free throw shooter (meaning on average she hits 64 of 100 free throws). Maria attempts five free throw shots in a typical game. During a 25-game season, Maria had a game in which she attempted five free throws and hit all five of them. Do you think she had a "hot" day, or was it just chance? Explain your reasoning. .……... Is the streak surprising? Explain. Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) A. The probability that she made five free throw tosses out of five is OB. The probability that she made five free throw tosses out of five is OC. The probability that she made five free throw tosses out of five is D. The probability that she made five free throw tosses out of five is which makes it very surprising. and the probability of it happening at least once in the season is which is very unlikely regardless of the number of games in the season. which is likely to…

You toss a coin three times. If you toss heads exactly two times, you win $2. If you toss heads all three times, you win $8. Otherwise, you lose $3. What is the expected payout for one round of this game? Round your answer to the nearest cent. Enter an expected loss as a negative number.

Rodney is going to shoot a total of 9 free-throws to prove he is a better shooter than Chris. During warm-ups Rodney can make 57% of practice shots. The challenge results are as follows… • 9 hits Rodney wins $100 • 6-8 hits Rodney wins $25 • 4-5 No one wins • 0-3 hits Chris wins $15 What is the probability that Rodney makes 7 shot?