The probability of failure of the first component
The probability of failure of second component
The probability of failure of third component
As the events are independent,
The machine will operate only when all the components work, i.e.,
In rest of the cases, it won’t work,
So
Hence, correct option is b.
A machine operates only when all of its three components function. The probabilities of the failures of the first, second and third component are and , respectively. What is the probability that the machine will fail?
A.
B.
C.
D. None of these
A.
B.
C.
D. None of these
A machine operates only when all of its three components function. The probabilities of the failures of the first, second and third component are and , respectively. What is the probability that the machine will fail?
A.
B.
C.
D. None of these
A.
B.
C.
D. None of these