The sample space of an experiment is S={a, b, c, d, e, f} . What is the probability of picking a consonant? Write your answer in the simplest fraction form.

Question

1/3
2/6
2/3
3/2

Answer 1

In the given sample space \( S = {a, b, c, d, e, f} \), we identify the consonants. The letters are:

• Vowels: \( a, e \)
• Consonants: \( b, c, d, f \)

There are a total of 6 letters in the sample space. Among them, 4 are consonants: \( b, c, d, f \).

To calculate the probability of picking a consonant, we use the formula:

\[ \text{Probability of picking a consonant} = \frac{\text{Number of consonants}}{\text{Total number of outcomes}} = \frac{4}{6} \]

We can simplify \( \frac{4}{6} \):

\[ \frac{4}{6} = \frac{2}{3} \]

Therefore, the probability of picking a consonant is \( \frac{2}{3} \).

So the correct answer is \( \frac{2}{3} \).