Two six-sided dice are rolled. If the sum of the dots showing is even, we get $12; otherwise, we lose $22. What is the expected value of game? this $

You are on a TV show. You have been asked to either play a dice game four times or accept a $50 bill. Thedice game works like this:If you roll a 1, 2, you lose $30. If you roll a 3, 4 or 5, you win $100. If you roll a 6, you lose $50.Should you play the game? Answer yes or no.__________   Use expected values and decision theory to justify your answer. Please round the answer to two decimal places.Expected value of four games is $__________.

A bag contains 2 gold marbles, 9 silver marbles, and 20 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $3. If it is silver, you win $2. If it is black, you lose $1. What is your expected value if you play this game?

One option in a roulette game is to bet $20 on red. (There are 18 red compartments, 18 black compartments, and two compartments that are neither red nor black.) If the ball lands on red, you get to keep the $20 you paid to play the game and you are awarded $20. If the ball lands elsewhere, you are awarded nothing and the $20 that you bet is collected. Find the expected payback for this roulette game if you bet $20 on red. The expected payback is $ (Round to the nearest cent as needed.)