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I am thinking of a word that is equally likely to be "BANANA", "POTATO", or "EARWAX". To help you guess it, I give you two hints. a.) First, I pick a random letter from my word (equally likely to be any of the six letters) and check if it's the letter "A". It is and I tell you so. Given just this information, what is the probability that my word is "POTATO"? b) Second, I pick a random letter from my word (equally likely to be any of the six letters, including de same letter I picked the first time) and check if it's the letter "X". It's not and I tell you so. Given both pieces of information you've gotten so far, what is the probability that my word is "POTATO"?

I am thinking of a word that is equally likely to be "BANANA", "POTATO", or "EARWAX". To help you guess it, I give you two hints. a.) First, I pick a random letter from my word (equally likely to be any of the six letters) and check if it's the letter "A". It is and I tell you so. Given just this information, what is the probability that my word is "POTATO"? b) Second, I pick a random letter from my word (equally likely to be any of the six letters, including de same letter I picked the first time) and check if it's the letter "X". It's not and I tell you so. Given both pieces of information you've gotten so far, what is the probability that my word is "POTATO"?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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I am thinking of a word that is equally likely to be "BANANA”, “POTATO", or "EARWAX". To help you guess it, I give you two hints. a.) First, I pick a random letter from my word (equally likely to be any of the six letters) and check if it's the letter "A". It is and I tell you so. Given just this information, what is the probability that my word is "POTATO"? b) Second, I pick a random letter from my word (equally likely to be any of the six letters, including ne same letter I picked the first time) and check if it's the letter "X". It's not and I tell you so. Given both pieces of information you've gotten so far, what is the probability that my word is "POTATO"?
Transcribed Image Text:I am thinking of a word that is equally likely to be "BANANA”, “POTATO", or "EARWAX". To help you guess it, I give you two hints. a.) First, I pick a random letter from my word (equally likely to be any of the six letters) and check if it's the letter "A". It is and I tell you so. Given just this information, what is the probability that my word is "POTATO"? b) Second, I pick a random letter from my word (equally likely to be any of the six letters, including ne same letter I picked the first time) and check if it's the letter "X". It's not and I tell you so. Given both pieces of information you've gotten so far, what is the probability that my word is "POTATO"?
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