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Practice: Conditional Probability: Tree Diagrams

A company manufactures a product in two different plants, 𝑃 and 𝑃. The company supplies three customers, 𝐶, 𝐶, and 𝐶 equally, each with 80 units a month. 𝑃 produces 10 units of this product per month and the company distributes this amount among the three customers 𝐶, 𝐶, and 𝐶 in percentages of 20%, 30%, and 50% respectively. If you select a unit at random from a 𝐶 outlet, find the probability that it is produced by 𝑃.

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