Question

An electrical circuit has two components in parallel. That is, the circuit works if at least one of the components works. The components work independently with probabilities 95% and 92% respectively. The chance that the circuit works is closest to

Answer 1

The chances of circuit to work will be 99.6 %.

Explanation:

The chance that the circuit will work is given by

`P_(success)=1-P_(faliure)`

The circuit will fail if both the components will fail

Probability of failure of component 1 is 100%-95%= 5%

Probability of faliure of component 2 is 100%-92% = 8%

Hence

`P_(faliure)=(1-0.95)* (1-0.92)\\\\P_(faliure)=0.004\\\\\therefore P_(success)=1-0.004=0.996`

Thus the chances of circuit working is 99.6%