If the probability of machine failing during a day is

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If the probability of machine failing during a day is 0.95. The probability of its working for four consecutive days without failing is ?

1. 0.00000625
2. 0.0625
3. 0.16548375
4. 0.000625

Correct Option: B

∴ Probability of machine failing during a day p = 0.95
∴ q = Probability of its working during a day = 1 - p = 1 - 0.95 = 0.05

Required probability = q⁴ = (0.05)⁴
= 0.00000625