Four chefs from a restaurant have worked during the last week according to the following hours report: Researcher | Working hours 1|60 2|69 3|38 4|61 Independently, each time one of the Chefs prepares a dish, the probability that his diners classify it as excellent is the following: Researcher | Chance of preparing an excellent dish 1|0.195 2|0.139 3|0.329 4|0.212 If the owner of the restaurant knows that during the last week one of the dishes was classified as excellent, what is the probability that it was Chef 4 who committed it? Indicate your result in the space below, expressed as a number between zero and one, rounding to four decimal places.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Four chefs from a restaurant have worked during the last week according to the following hours report:

Researcher | Working hours

1|60

2|69

3|38

4|61

Independently, each time one of the Chefs prepares a dish, the probability that his diners classify it as excellent is the following:

Researcher | Chance of preparing an excellent dish

1|0.195

2|0.139

3|0.329

4|0.212

If the owner of the restaurant knows that during the last week one of the dishes was classified as excellent, what is the probability that it was Chef 4 who committed it?

Indicate your result in the space below, expressed as a number between zero and one, rounding to four decimal places.

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