Player ii is moving an important item in one of three cars, labeled 1, 2, and 3. player i will drop a bomb on one of the cars of her choosing. she no chance of destroying the item bombs the wrong car. if she chooses the right car, then her probability of destroying the item depends on that car. the probabilities for cars 1, 2, and 3 are equal to 3/4, 1/4, and 1/2. write the 3 times 3 payoff matrix for the game, and find an optimal strategy for each player.