Question
Download Solution PDFThe chance that a software engineer will debug an error X correctly is 80%. The chance that software with the error X will crash after the correct debugging is 30%. The chance of crash of the software by wrong debugging is 70%. A software with the error X crashed. The probability that its error was debugged correctly is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
P(A I B) = 30% = 0.3
P(A) = 80% = 0.8
P(B I A’) = 70% = 0.7
P(A’) = 100% - 80% = 2-0% = 0.2
Formula
P(A I B) = P(A I B). P(A)/P(B) = [P(A I B). P(A)]/[P(A I B). P(A) + P(B I A’) P(A’)]
Calculation
P(A I B) = (0.3 × 0.8)/(0.3 × 0.8 + 0.7 + 0.2)
⇒ 0.24/(0.24 + 0.14)
⇒ 0.24/0.38
∴ The probability that its error was debugged correctly is 12/19Last updated on Jul 7, 2025
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