10.3 Cheese shop. A cheese shop receives 65% of its cheeses from dairy factory A, 25% of its cheeses from dairy factory B, and the remaining 10% from dairy factory C. Assume that the prevalence of listeria bacteria is 1% (from factory A), 4% (from factory B), and 2% (from factory C).
1. What is the probability that listeria is found in a randomly chosen cheese from the shop?
2. How big a percentage of the cheeses where listeria is present are from dairy factory A, B, and C, respectively?
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