MathCastle
Counting & ProbabilityEasyConditional Probability, Independence & Bayes

Conditional Probability, Independence & Bayes · Easy problem

Factory 1 makes 70%70\% of items with a 5%5\% defect rate; Factory 2 makes 30%30\% with a 10%10\% defect rate. Find the probability a random item is defective.

Express your answer as a common fraction.