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.(1 point)
Responses

13
Start Fraction 1 over 3 End Fraction

32
Start Fraction 3 over 2 End Fraction

23
Start Fraction 2 over 3 End Fraction

26

1 answer

The sample space is \( S = { a, b, c, d, e, f } \).

The vowels in this sample space are \( { a, e } \), while the consonants are \( { b, c, d, f } \).

  • Total number of outcomes in the sample space: 6 (since there are 6 letters).
  • Number of consonants: 4 (which are b, c, d, and f).

To find the probability of picking a consonant:

\[ \text{Probability of consonant} = \frac{\text{Number of consonants}}{\text{Total number of outcomes}} = \frac{4}{6} = \frac{2}{3}. \]

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

The answer is \( \frac{2}{3} \).