SUBJECT RANDOM SIGNAL ANALYSIS A device has 6 parts For the

SUBJECT: RANDOM SIGNAL ANALYSIS:

A device has 6 parts. For the device to work, at least one part out of the 6 must work. The probability that a part works is 1/2. What is the probability that the device works?

Solution

Here the device has 6 parts. The device can work if any of these 6 parts is working. And given the probability of part of working is 1/2. i.e part working and part not working are the cases. Here there are total six parts. So total cases are 12. So the probability of device working is 1/12.