In a bucket of tacos, we have 4 spicy beef tacos, 6 spicy chicken tacos, and 6 mild beef tacos. If we want spiciness and type of meat to be independent when we pick a random taco from the bucket, how many mild chicken tacos should we add? (For example, in a bucket with only 10 spicy beef tacos and 10 mild chicken tacos, they would not be independent, since if you pick a chicken taco, you'd know it must be mild.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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In a bucket of tacos, we have 4 spicy beef tacos, 6 spicy chicken tacos, and 6 mild beef tacos. If we want spiciness and type of meat to be independent when we
pick a random taco from the bucket, how many mild chicken tacos should we add?
(For example, in a bucket with only 10 spicy beef tacos and 10 mild chicken tacos, they would not be independent, since if you pick a chicken taco, you'd know it
must be mild.)

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