A single security guard is in charge of watching two locations. If guarding Location A, the guard catches any intruder in Location A with probability 0.4. If guarding Location B, they catches any any intruder in Location B with probability 0.6. If the guard is in Location A, they cannot catch intruders in Location B and vice versa, and the guard can only patrol one location at a time.

The guard receives a report that 100 intruders are expected during the evening's patrol. The guard can only patrol one Location, and the other will remain unprotected and open for potential intruders. The leader of the intruders knows the guard can only protect one location at at time, but does not know which section the guard will choose to protect. The leader of the intruders want to maximize getting as many of his 100 intruders past the two locations. The security guard wants to minimize the number of intruders that get past his locations.

How should the guard decide which location to protect, given they can only protect one location that evening? Explain.

Answer should be typed format only.

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