00:01
In this question, we're given a system, it's made out of two components connected in parallel, and the components work independently.
00:08
Now, the system works if at least one component works.
00:12
Now, probability of a component working is 0 .57.
00:16
I'm going to let a denote the event the first component does not work, and event b, the event, the second component does not work.
00:26
So probability of event a, the first component does not work, will be one minus the component.
00:32
To that and that is the first component is working and that will be 0 .57.
00:40
And so that is 0 .43.
00:43
Now next, we want to find probability of b.
00:46
That is the second component does not work.
00:49
Again, it's one minus the complement to this case.
00:52
It means one minus probability the second component is working and that would be 0 .57.
01:00
And so that will be 0 .43.
01:02
Now we want to find probability the system does not work.
01:08
So we're looking at probability of, now the system does not work...