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

0.00000625
0.0625
0.16548375
0.000625

Correct Answer: 0.0625

Explanation:

∴ 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

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