One letter tile is randomly drawn from a set of 26 alphabet tiles representing letters A through Z. What is the probability that the letter drawn is a vowel or is in the word “now”? Give your answer as a fraction in reduced form.
1 Answer
Apr 2, 2018
The answer is
Explanation:
The probability that the letter is a vowel is
The probability that the letter is in the word 'now' is
But, the letter 'o' is in both sets of options, i.e. o is a vowel and o is in the word 'now', so it cannot be double-counted.
So, the total probability we are after is
Another way of thinking about this is just to write out all the options: A, E, I, O, U, N, W. When you count them up, there are seven distinct letters.