A hydraulic stucture has four gates which operate independently . The probability of failure of each gate is 0.1.
Given that gate 1 has failed, what is the probability that gate 2 and gate 3 will fail ?
I think the answer is $P(G_2 \cap G_3) / P(G_1) = (0.1*0.1)/0.1 = 0.1$
Am I correct?