A field is irrigated using the supply from either of canal water or groundwater or rainfall. At any given time, the probability of failure due to inadequate supply of water from at least one of these sources is 0.62. Assuming that the probability of failure of canal supply, groundwater, and rainfall individually are 0.01, 0.06, and 0.01, respectively, information on their simultaneous failures is as follows: (a) Probability of simultaneous failure of canal supply and groundwater is 0.04. (b) Probability of simultaneous failure of groundwater and rainfall is 0.1. (c) Probability of simultaneous failure of canal supply and rainfall is 0.09. What is the probability of simultaneous failure of all the sources? (sample format-0.12) Let us denote, E1 = Failure of canal supply; E2 = Failure of groundwater source; E3 = Failure of rainfall source (no rainfall occurs)