A letter of the word SECONDARY is selected at random. What is the probability that the letter selected is not a vowel?

Given, Word = SECONDARY The letters are {S, E, C, O, N, D, A, R, Y}

Total number of outcomes = 9

The letters that are consonants = {S, C, N, D, R, Y}.

Let B be the event of selecting a letter that is not a vowel.

The number of favorable outcomes to the event B = 6

∴ P(B) = $\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \dfrac{6}{9} = \dfrac{2}{3}$

Hence, the probability that the letter selected is not a vowel is $\dfrac{2}{3}$.

Hence,