SOLUTION: a machine has 4 components;A,B,C and D for the mqachine to work,both A and D have tro work,and atleast one of B and C has to work.Probvability of A,B,c and D working are 0.8,0.8,0.

Question 981366: a machine has 4 components;A,B,C and D for the mqachine to work,both A and D have tro work,and atleast one of B and C has to work.Probvability of A,B,c and D working are 0.8,0.8,0.6 and 0.6 respectively.Assuming that components wok or fail indepedently of each other ,What is the probability that the machine works?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Look at the possible working combinations
1.A working, D working, B working, C not working
2.A working, D working, C working, B not working
3.A working, D working, B working, C working
Those are the only possible combination for which the machine works.
Find the probability of each case by multiplying probabilities together.

So then,

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