GATE ME 2015 Set 2 — Question 15
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Engineering Mathematics → Probability → Axioms of Probability
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Question
Three vendors were asked to supply a very high precision component. The respective probabilities of their meeting the strict design specifications are 0.8, 0.7 and 0.5. Each vendor supplies one component. The probability that out of total three components supplied by the vendors, at least one will meet the design specification is ________
Correct answer
0.96 to 0.98
Solution
Let
The probability that at least one component meets the specification is:
The calculated value is 0.97, which falls within the range [0.96, 0.98].
P(A), P(B), and P(C) be the probabilities that vendors 1, 2, and 3 meet the specifications, respectively.The probability that at least one component meets the specification is:
The calculated value is 0.97, which falls within the range [0.96, 0.98].
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