Question

Tiles spelling the word “Restaurant” are placed on a sign above a building. If one of the letters falls down at random, what is the probability that the letter is not a vowel? JUSTIFY

Answer 1

3/5

Explanation:

The word "Restaurant" contains a total of 10 letters, out of which 4 of the letters are vowels and 6 of the letters are consonants. The probability of selecting a vowel out of this word is:

P(selected letter is a vowel) = number of vowels/number of letters.

P(selected letter is a vowel) = 4/10 = 2/5.

Similarly, probability of selecting a non-vowel out of this word is:

P(selected letter is not a vowel) = number of non-vowels/number of letters.

P(selected letter is not a vowel) = 6/10 = 3/5.

Given that one of the letters randomly falls down, and assuming that the probabilities of each letter falling down is uniform and independent from each other, then:

P(a non-vowel falls down) = non-vowels/total = 6/10 = 3/5.

So the correct answer is 3/5!!!