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2. Players 1 and 2 must decide Whether or not to carry an umbrella when leaving home. They know that there is a 50-50 chance of rain. Each player's payoff is 5 if he does not carry an umbrella and it rains, 2 if he carries an umbrella and it rains, 1 if he carries an umbrella and it is sunny, and 1 if he doesn't carry an umbrella and it is sunny. Player 1 learns the weather before leaving home; player 2 does not, but he can observe player 1's action before choosing his own. Give the extensive and strategic forms of the game and nd its SPE