Suppose that a circuit with n resistors are configured in parallel works only when at least one of its resistors is functioning. Suppose each resistor will be working with probability p = 1/2 independent of all other resistors. Given the system is working, what is the probability resistor 1 is working?This is the picture to use to get a sense of what you are working with.
2
3
1
4
9 V
R.
R. 1 kQ
>10 kQ
2 kQ
8
7
6
5
Figure 1. Parallel circuit with a battery and three resistors