Probability and statistics?

Question: Solar power batteries; Rcently NASA purchased a new sloar powered battery guaranteed to have a failure rate of only 1 in 20. Anew system to be used in space while operates on one of these batteries.To increase relaibility of the system, NASA installed three batteries each designed to operate if the preceding batteries in the chain fail, If the system is operated in a practical situation , what is probability that three batteries would fail?

Answer:
(1/20)*(1/20)*(1/20)=1/8000

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