Assignment #2      In each of the following problems find the answer in two ways.         a) Thinking. b) Simulation.      1. A bridge hand consists of 13 cards from a standard deck. You         will be paid for cards in the hand as follows:                $1 for each Jack                $2 for each Queen                $3 for each King                $4 for each Ace.        What is the fair price to pay for a random bridge hand?      2. Two cards will be drawn from a standard deck. If both are         spades you will paid $1, otherwise you get $0. What is the fair         price for this game when         (a) the draws are with replacement?         (b) the draws are without replacement?      3. Three dice are rolled. You get $1 for each 6 that shows up;         but, you lose $1 if there are no 6's. Is this a good game for         you?      4. Three dice are rolled. If there is at least one odd number         among the three dice you win a dollar; if all the dice are         even then you lose the sum of the dice. Is this a good game         for you?      5. A coin is tossed until a head appears; you collect a dollar         each time the coin is tossed. What is the fair price to pay         to play this game?