Question

if the permutation of the word WHITE is selected at a random,find the probability that the permutation a) begins with a consonant
b)begins with a vowel

Answer 1

Answer:

a) 3/5

b)2/5

Step-by-step explanation:

There are total 5! = 120 permutations of the word WHITE

Now, in this word there are 3 consonants and 2 vowels,

a) If the permutation has to start with a consonant , there are 3 possibilities and the rest 4 can be permuted in 4! ways, hence the probaility = 3*4!/5!

=3/5

b)Word should either start with a consonant or a vowel, hence probability that it will start with vowel = 1 - probability that it will start with consonant

= 1-3/5 = 2/5.