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