00:01
The following circuit operates if and only if there's a path of functional devices from left to right.
00:08
Assume that devices fail independently and that the probability of failure of each device is as shown.
00:15
So what is the probability that the circuit does not operate? so we're looking for the probability that the circuit does not operate, or in other words probability that the circuit fails.
00:25
Well, this will fail if and only if moving from left to right.
00:32
That option number one does not work so that there's a failure on option number one.
00:41
And there's a failure on option number two.
00:44
So we're going to do and here, which is indicating multiplication.
00:48
So and we must have a failure here.
00:51
So in order for this failure on the second ring, on the second run, either the first or the second would be a failure.
01:01
Both of them being a failure would also indicate a failure...