The english alphabet contains 26 letters: 21 consonants (including y) and 5 vowels. The following scenario is inspired by the bath foam letters that are used by my toddler, here are the rules: • there is only 1 of each letter with equal probability of being chosen. • you will choose 4 letters at random without replacement and a word is formed in the order selected • a valid word must also have no more than 2 consonants in a row • words formed in this experiment may be valid under these rules even if they are not dictionary words in english What is the probability of selecting a valid word?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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The english alphabet contains 26 letters: 21 consonants (including y) and 5 vowels.
The following scenario is inspired by the bath foam letters that are used by my toddler, here are the rules:
• there is only 1 of each letter with equal probability of being chosen.
• you will choose 4 letters at random without replacement and a word is formed in the order selected
• a valid word must also have no more than 2 consonants in a row
• words formed in this experiment may be valid under these rules even if they are not dictionary words in english
What is the probability of selecting a valid word?
Transcribed Image Text:The english alphabet contains 26 letters: 21 consonants (including y) and 5 vowels. The following scenario is inspired by the bath foam letters that are used by my toddler, here are the rules: • there is only 1 of each letter with equal probability of being chosen. • you will choose 4 letters at random without replacement and a word is formed in the order selected • a valid word must also have no more than 2 consonants in a row • words formed in this experiment may be valid under these rules even if they are not dictionary words in english What is the probability of selecting a valid word?
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