Find the probability of picking 3 consonants and 2 vowels when 5 letters are picked (without replacement) from a set of alphabet tiles.

This is the concept of probability, given that 5 letters are picked from a set of alphabetical tiles, the probability of picking 3 consonants and 2 vowels will be found as follows;

Number of letters in the alphabetical tiles=26 letters

5 vowels and 21 consonants

The total number of ways we can pick a set of 2 vowels from the tiles will be given by:

26C2=325

here only one set of letters would be all vowels

P (2 vowels) = 2/325

Next, we have 24 letters, the number of ways to pick 3 consonants without replacement will be:

24C3=2024

Probability of picking 3 consonant will be:

P (picking consonant)

=3/2024

Probability of picking 3 consonants and 2 vowels will be:

3/2024+2/235

=0.009929

=0.01