What is the expected value of the following? 1. Face value when selecting a card from a deck. Assume that the deck of cards is a standard 52 carddeck, the ordinal cards are worth their face value, the face cards (Jacks, Queens, Kings) are worth 10points, and Aces are worth 15 points.
2. Rolling a six-sided die. Here, the value of a roll is the square of the number that appears at the top. Assume that the die is fairly weighted.
3. Playing the following game: I flip a fair coin, and you select heads/tails while it is in the air. If youcall the correct side, you get 10 points. If not, you roll a die. If it lands as a multiple of three, youget -25 points. If it lands on the 5, then you get 100 points. Otherwise, no points are awarded nordeducted