Suppose that, of all the customers at a coffee shop, 70% purchase a cup of coffee; 40%

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Suppose that, of all the customers at a coffee shop,

  • 70% purchase a cup of coffee;
  • 40% purchase a piece of cake;
  • 20% purchase both a cup of coffee and a piece of cake.

Given that a randomly chosen customer has purchased a piece of cake, what is the probability that he/she has also purchased a cup of coffee?

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