The probability of picking 5 vowels and 3 consonants is 0.00014
Given;
5 vowels
3 consonants
To find:
the probability of picking 5 vowels and 3 consonants letters from English Alphabets with replacement.
There are 26 English Alphabets.
There are 5 vowels in the alphabet
There are 21 consonants in the alphabet
The probability of picking 5 vowels;
[tex]5 \ vowels = \frac{5}{26} \times \frac{5}{26} \times \frac{5}{26} \times \frac{5}{26} \times \frac{5}{26} = \frac{3125}{11,881,376}[/tex]
The probability of picking 3 consonants;
[tex]3 \ consonants = \frac{21}{26} \times \frac{21}{26} \times \frac{21}{26} = \frac{9261}{17,576}[/tex]
The probability of picking 5 vowels and 3 consonants;
[tex]5\ vowels \ 3\ consonants = \frac{3125}{11,881,376} \times \frac{9261}{17,576} = \frac{28,940,625}{208827064576} = 0.00014[/tex]
Thus, the probability of picking 5 vowels and 3 consonants is 0.00014
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