Carcass wrote:
A machine is made up of two components, A and B. Each component either works or fails. The failure or non-failure of one component is independent of the failure or non-failure of the other component. The machine works if at least one of the components works.
If the probability that each component works is 23, what is the probability that the machine works?
A. 19
B. 49
C. 12
D. 23
E. 89
Here,
The probability of the machine doesn't work =
1−23=13Probability that neither A nor B are working =
13∗13=19Probability that machine works =
1−19=89