Project ForgeEngineering Mathematics
Calculus
GATE 2016
Medium
The probability that a screw manufactured by a company is defective is 0.1. The company sells screws in packets containing 5 screws and gives a guarantee of replacement if one or more screws in the packet are found to be defective. The probability that a packet would have to be replaced is __________.
0.41(± 0.02 accepted)
Explanation
P(replace) = 1 - P(no defectives in 5) = 1 - (0.9)^5 = 1 - 0.5905 ≈ 0.41.
Source: GATE ME 2016 Set-2 (2016)
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