Q6. The probability of the switch i to be closed (i.e., connected) is p. We want to know the probability PAB for the current to be able to flow from A to B (the current can go through switch 3 in either direction when it is closed). Answer the following questions and show your derivation steps. (i) A- 47 2 B [10pt] If the switches open or close independently, what is PAB? Express using pi [10pt] If p = 90%, but we do not assume the switches are necessarily independent, what is the minimum of PAB?