The principle of redundancy is used when system reliability is improved through

Question

The principle of redundancy is used when system reliability is improved through redundant or backup components. A region's government requires that commercial aircraft used for flying in hazardous conditions mast have two independent radios instead of one. Assume that for a typical flight, the probability of a radio failure is 0.0043. What is the probability that a particular flight will be threatened with the failure of both radios? Describe how the second independent radio increases safety in this case. What is the probability that a particular flight will be threatened with the failure of both radios?

Explanation / Answer

P(Failure of both radios) = P(Failure of first radio) * P(Failur of second radio) = (0.0043) * (0.0043) = 0.000018 (Rounded off to 6 decimal places)

This arrangement will decrease the probability of failure as compared to 1 radio and hence, increase safety.

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