An internet research company surveyed 95 online shoppers, each of whom made one purchase today. The company recorded the type of purchase each shopper made. Here is a summary. Type of purchase Food Pet supplies Electronics Number of shoppers 32 22 17 24 Beauty supplies Three shoppers from the survey are selected at random, one at a time without replacement. What is the probability that all three of the shoppers purchased food? Do not round your intermediate computations. Round your final answer to three decimal places.

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