2. On Her Majesty's Secret Service. The famous British spy 001 has to choose one of four routes a, b, c, or d (listed in order of speed in good conditions) to ski down a mountain. Fast routes are more succeptible to avalanche. At the same time, the notorious rival spy 002 has to choose whether to use (\"y\") or not to use (\"as\") his valuable explosive to try to cause an avalanche. The payoffs to this game are as follows. 002 x a 12,0 001 1) 11,1 6 10, 2 d 9, 3 (a) Let p1(a:) be the probability assigned by 001's belief to 002's playing :13. Explain what 001 should do if p1(:v) > %; if p1(:c)