Question 411034
There are 5 traditional vowels in English.
26-5=21 consonants
There are 3 consonants on each plate.
The consonants are used with replacement so this is a binomial expansion problem.
Probability of you consonant in the first letter is 1/21
(20/21)^3=.8638 probability that none of the letters contain your favorite.
1-.8638=.1362 the probability that your plate contains your favorite consonant.