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.
A. 2/3
B. 3/2
C. 1/3
D. 2/6
To find the probability of picking a consonant, we first need to identify the consonants in the sample space S = {a, b, c, d, e, f}. The consonants are b, c, d, and f, so there are 4 consonants.
Since the total number of possible outcomes is 6 (the total number of elements in the sample space), the probability of picking a consonant is given by the number of consonants divided by the total number of outcomes:
Probability of picking a consonant = Number of consonants / Total number of outcomes
Probability of picking a consonant = 4 / 6
Probability of picking a consonant = 2 / 3
Therefore, the probability of picking a consonant is 2/3, which is option A.