Question

A hydraulic structure has four gates which operate independently. The probability of failure of each gate is 0.2. Given that gate 1 has failed, the probability that both gates 2 and 3 will fail is

• A. 0.240
• B. 0.200
• C. 0.040
• D. 0.008

Answer 1

The correct option is C 0.040

The required probability = (Prob. of failure of gate 2) × (Prob. of failure of gate3)

{independent events}
= (0.2) (0.2)
= 0.040