It's the Superbowl. The Seahawks are on the goal line with only a few seconds to go. They can pass or they payoffs in the Table. Let p- probability of touchdown, 1-p-probability of losing the ball. Calculate the en is the expected payoff from run? Simplify your answer. 500p-100 O 1500p-500 0500 01-P SEAHAWKS NATURE 1000
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- A is a complete plan describing how a player will act. O policy Ohypothesis O strategy O payoffIn a final round of a MegaMillion TV show, a contestant has won $1 millionand has a chance of doubling the reward. If he loses his winnings drop to$500,000. The contestant thinks his chances of winning are 50%. Should heplay? What is the lowest probability of a correct guess that will make his betprofitable? Show workIn the final round of a TV game show, contestantshave a chance to increase their current winnings of$1 million to $2 million. If they are wrong, theirprize is decreased to $500,000. A contestant thinkshis guess will be right 50% of the time. Should heplay? What is the lowest probability of a correctguess that would make playing profitable?
- 30. In a simultaneous-move game of incomplete information, a player's payoff function is determined by their what? a. Probability b. Type c. Action d. Strategy2. Individual Problems 17-2 You're a contestant on a TV game show. In the final round of the game, if contestants answer a question correctly, they will increase their current winnings of $3 million to $5 million. If they are wrong, their prize is decreased to $2,250,000. You believe you have a 10% chance of answering the question correctly. Ignoring your current winnings, your expected payoff from playing the final round of the game show is $ , you Given that this is play the final round of the game. (Hint: Enter a negative sign if the expected payoff is negative.) The lowest probability of a correct guess that would make the guessing in the final round profitable (in expected value) is what probability does playing the final round yield an expected value of zero?) (Hint: At1. What is the expected value of playing this game ? a. The player repeatedly rolls a six - side d die until it comes up 6. b. When the die comes up 6 , the player receives a payoff, and the game ends. The player get s precise ly one payof f. c. The initial payoff is $6, and it increases by 20%. The f irst roll payoff is $6 ; the second roll payoff is $7.20 (1.2*$6) ; the third roll payoff is $8.64 (1.2*$7.20), and so on. What is the expected value of playing this game?
- how do you do you find the expected payback for this problem? Find the expected payback for a game in which you bet $1010 on any number from 00 to 399.399. If your number comes up, you get $400400.In a final round of a MegaMillion TV show a contestant has a won $1 million and has a chance of doubling the reward. If he loses his winnings drop to $500,000. The contestant thinks his chances of winning is 50%. Should he play? What is the lowest probability of a correct guess that will make his betprofitable? Please show your work.For the following questions consider this setting. The deciding shot in a soccer game comes down to a penalty shot. If the goal-keeper jumps in one corner and the striker shots the ball in the other, then it is a goal. If the goalie jumps left and the striker shoots left, then it is a goal with probability 1/3. If the goalie jumps right and the striker shots right, it is goal with probability 2/3. QUESTION Say the goalie's strategy is to jump left with probability 1 and the striker shoots left with probability 0.5, then the probability of a goal is (round to two digits) QUESTION If the striker shoots in either corner with probability 0.5 and the goalie likewise shoots in either corner with probability 0.5, then the probability of a goal is (round to 2 digits)
- For the following questions consider this setting. The deciding shot in a soccer game comes down to a penalty shot. If the goal-keeper jumps in one corner and the striker shots the ball in the other, then it is a goal. If the goalie jumps left and the striker shoots left, then it is a goal with probability 1/3. If the goalie jumps right and the striker shots right, it is goal with probability 2/3. Say the goalie's strategy is to jump left with probability 1 and the striker shoots left with probability 0.5, then the probability of a goal is (round to two digits) If the striker shoots in either corner with probability 0.5 and the goalie likewise shoots in either corner with probability 0.5, then the probability of a goal is (round to 2 digits)1 . Individual Problems 17-2 You're a contestant on a TV game show. In the final round of the game, if contestants answer a question correctly, they will increase their current winnings of $3 million to $4 million. If they are wrong, their prize is decreased to $2,250,000. You believe you have a 25% chance of answering the question correctly. Ignoring your current winnings, your expected payoff from playing the final round of the game show is . Given that this is , you play the final round of the game. (Hint: Enter a negative sign if the expected payoff is negative.) The lowest probability of a correct guess that would make the guessing in the final round profitable (in expected value) is . (Hint: At what probability does playing the final round yield an expected value of zero?)If no individuals prefer a different choice during games, it is known as Select one: a. Nash equilibrium b. Opponent win c. Optimal decision d. Strategic decision