Question

If two letters are taken at random from the word HOME, what is the Probability that none of the letters
would be vowels?
(a) 1/6
(b) 1/2
(c) 1/3
(d) ¼

Answer 1

Hey mate ☺

They are {(H,O), (O,H), (H,M), (M,H),(H,E), (E,H), (O,M), (M,O), (O,E), (E,O), (M,E), (E,M)}.

There is only two selections that has 2 consonants (non-vowels)= {H,M};{H,M}

So, probabilty =

$\frac{2}{12} = \frac{1}{6}$

So, option (a) is the right answer

Hope it helps you ☺✌✌