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. 3/2
b. 1/3
c. 2/3
d. 2/6
First, we need to determine how many consonants are in the sample space. In this case, the consonants are b, c, d, and f, which means there are 4 consonants.
Next, we need to calculate the total number of outcomes in the sample space, which is 6 (a, b, c, d, e, f).
The probability of picking a consonant is the number of favorable outcomes (consonants) divided by the total number of outcomes in the sample space.
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
So, the answer is c. 2/3.