find the probability of picking 5 vowels and 1 constant when 6 letters are picked with replacement from a set of alphabet tiles
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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.Know more about probability here:https://brainly.com/question/25870256#SPJ4