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 $2 million to $5 million. If they are wrong, their prize is decreased to $1,500,000. You believe you have a 25% chance of answering the question correctly.

Ignoring your current winnings, your expectedpayofffrom playing the final round of the game show is $ . Given that this is(positive or negative), you (should or should not) 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 (8.5714%, 10.0000%, 11.4286%, or 14.2857%). (Hint: At what probability does playing the final round yield an expected value of zero?)