5) According to Alice, the payoffs of the several outcomes are as follows: a. If it is sunny and she is not carrying an umbrella, 10 b. If it is sunny and she is carrying an umbrella, 8 c. If it is rainy and she is not carrying an umbrella, 2 d. If it is rainy and she is carrying an umbrella, 6 Draw the game matrix of this one-person game (vs. Nature). What should the probability of rain (P) be for Alice to take an umbrella with her