Question

A letter is chosen at random from the word "PROBABILITY". What is the probability that the letter is a consonant?

• A. 4/11
• B. 5/11
• C. 7/10
• D. 7/11

Hint:

Count total letters first, then subtract vowels to get consonants.

Answer 1

The Correct Option is D

To find the probability that a letter chosen at random from the word "PROBABILITY" is a consonant, follow these steps:

1. Count the total number of letters in the word "PROBABILITY".

The word "PROBABILITY" has 11 letters.

1. Identify the consonants and count them.

The consonants in "PROBABILITY" are: P, R, B, B, L, T, Y.

Total number of consonants = 7.

1. Calculate the probability of choosing a consonant.

Probability of choosing a consonant = \(\frac{\text{Number of consonants}}{\text{Total number of letters}}\)

Substituting the known values:

\(\frac{7}{11}\)

1. Compare with the given options to identify the correct answer.

The correct option that matches our calculation is 7/11.

Therefore, the probability that the letter chosen is a consonant is \(\frac{7}{11}\).