Project ForgeEngineering Mathematics
Probability & Statistics
GATE 2018
Easy
A watch uses two electronic circuits (ECs); each has failure probability 0.1 in one year, and both are required for the watch to function. The probability of the watch functioning for one year without failure is
- A0.99
- B0.90
- 0.81
- D0.80
Explanation
Both circuits must work (series reliability): P=(1−0.1)×(1−0.1)=0.9×0.9=0.81.
Source: GATE CH 2018 (2018)
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