Question

A letters of the word ASSASSINATION are randomly chosen. Find the probability that letter is

1. a vowels. 

2. a consonant 

Answer 1

There 13 letter in the word, with 6 vowels and 7 consonants.
One letter is selected out of 13 in ¹³C₁ = 13 ways.

1. One vowel is selected out of 6 in ⁶C₁ = 6 ways.

Thus the probability of a vowel = \(\frac{6}{13}\).

2. One consonant is selected out of 7 in ⁷C₁ = 7 ways.

Thus the probability of a consonant = \(\frac{7}{13}\).