Question

A bag contains 26 tiles with a letter on each, one tile for each letter of the alphabet. What is the probability of reaching into the bag and randomly choosing a tile with one of the letters in the word ENGLISH on it or randomly choosing a tile with a vowel on it? A) 5/13B)12/26C) 4/13D) none of the answers listed

Answer 1

Option A is the answer.

Explanation:

The set of letters from which we have to draw is:

E, N, G, L, I, S, H

And vowels i.e A, E, I, O, U

But we have E and I in ENGLISH, so we are left with three vowels : A, O, U

So, total letters are :

E, N, G, L, I, S, H, A, O, U

Total letters are 10.

Hence, the probability of picking one tile with one letter out of 26 is :

`(10)/(26)= (5)/(13)`

Option A is the answer.