In the final round of a TV game show contestants have a chanceto increase their

In the final round of a TV game show contestants have a chanceto increase their current winnings of 1 million dollars to 10million dollars. If they are wrong their prize is decreased to$100000. To win they have to guess the exact percentage thatanswered a question a certain way and the range has already beennarrowed to an 11-point range. So for example the contestantknows that the correct answer is between 20% and 30% and he or shemust guess the correct percentage in that range. So lets say youhave no idea what the right answer is and have to make a randomguess. Should you play?