Q1) Player B secretly writes down one of the numbers {1,2,.,9} and Player A tries to guess what it is with a cost of $1. If he guesses correctly, Player B pays him $10 and $8 for the odd and even...

Extracted text: Q1) Player B secretly writes down one of the numbers {1,2,.,9} and Player A tries to guess what it is with a cost of $1. If he guesses correctly, Player B pays him $10 and $8 for the odd and even numbers, respectively. If he doesn't guess correctly, he has no gain. Determine the optimal strategies of both players and the value of the game.