Question

A software company has two divisions, A and B, developing mobile apps. Division A develops 60% of the apps, and Division B develops 40%. It is known that 5% of apps from Division A have bugs, while 8% of apps from Division B have bugs. If an app selected at random is found to have a bug, what is the probability that it was developed by Division A?

16 Sep 2025
Answer :
Word Count : 197
To solve this problem, we apply Bayes' Theorem, which is a fundamental statistical technique used to find conditional probabilities. Let $P(A)$ and $P(B)$ represent the probabilities that an app comes from Division A and Division B, respectively. From the problem, $P(A) = 0.6$ and $P(B) = 0.4$. Let $P(\text{Bug}|A)$ ___ __________ _________ __________ ______ ______ ___ ___ __________ _____.
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