At a Raffle, 1000 tickets are sold at $5 each. There are 20 prizes of $100, and 1 grand prize of $2000. Suppose you buy one ticket. Let the random Variable X represent your net gain (remember that the net gain should include the cost of the ticket) after playing the game once.   Question: If you ply in such a raffle 100 times, what is the expected net gain?

A restaurant will select 1 card from a bowl to win a free lunch. Jo puts 5 cards in the bowl. The bowl has 100 cards. What are the odds of Jo winning a free lunch?    1/5   1/10   1/20    1/500

A friend proposes a gamble to you. You roll 2 fair, six-sided dice, and add up the results of each die to find your total number. If your roll totals a 6 or 8, your friend pays you $30. If you roll any other total, you pay your friend $10. What is your expected payoff from playing this game 100 times?.

Shenise is a star player for her​ women's basketball team. She has injured her​ ankle, and it is doubtful that she will be able to play in an upcoming game. If Shenise can​ play, the coach estimates that the team will score 91 points. If Shenise is not able to​ play, the coach estimates that they will score 70 points. The team doctor estimates that there is a 70​% chance Shenise will play. Determine the number of points the team can expect to score.

You pay $20 to enter a raffle.  The first ticket drawn wins $1036, the second ticket drawn wins $477, the third through fifth win $186, and the sixth through tenth win $49.  Suppose 2345 tickets were sold.  What is the expected earning on your ticket?

A bag contains 3 red marbles, 9 white marbles, and 15 blue marbles. You randomly select one marble from the bag. If it is red, you win $4. If it is white, you win $2. If it is blue, you lose $1. What is your expected value when playing this game? Round your answer to the nearest cent.

There is a football game on Friday evening. If it is raining, 5000 people are expected to attend. If it is not raining, 18000 people are expected. The weather forecast is for 19% chance of rain on Friday. What is the expected attendance at the game?

At a county fair, the chance of winning a game is 5% and the prize is a huge stuffed animal. Does that mean that if you play the game 100 times, you will win five of those huge stuffed animals? Explain your thinking.