Question

find the probability of picking 5 vowels and 1 constant when 6 letters are picked with replacement from a set of alphabet tiles

1. The probability of picking 5 vowels and 1 constant when 6 letters are picked with replacement from a set of alphabet tiles is 2.12.
To find the probability of picking 5 vowels and 1 constant when 6 letters are picked with replacement from a set of alphabet tiles:
Given:
• 5 vowels
• 1 consonant
To find:
• The probability of picking 5 vowels and 1 consonant letter from the English Alphabet with a replacement.
• There is 26 English Alphabet.
• There are 5 vowels in the alphabet.
• There are 21 consonants in the alphabet.
The probability of picking 5 vowels:
• 5 vowels = 5/26 × 5/26 × 5/26 × 5/26 × 5/26 = 3125/11,881376
The probability of picking 1 consonant:
• 1 constant = 21/26 = 21/26
The probability of picking 5 vowels and 1 consonants:
• 5 vowels 1 constant = 3125/11,881,376 × 21/26 = 65625/308915776 = 2.12436.
Therefore, the probability of picking 5 vowels and 1 constant when 6 letters are picked with replacement from a set of alphabet tiles is 2.12.