Question

If two letters are randomly taken one after the other from the word AUGUST, what is the probability that none of the letters would be vowels?

Answer 1

Number of vowels in the word AUGUST --> 3
Number of consonants --> 3
Total number of alphabets --> 6
Probability of first letter is not vowel = 3/6
Probability of second letter is not vowel = 2/5
Probability that none of letters would be vowels is = 3/6 * 2/5 = 1/5