To determine the probability of earning a score of 3 or higher, we need to sum the probabilities of scoring a 3, 4, or 5.
Given the probabilities for each score:
- Probability of scoring a 3 is [tex]\(0.26\)[/tex]
- Probability of scoring a 4 is [tex]\(0.21\)[/tex]
- Probability of scoring a 5 is [tex]\(0.15\)[/tex]
Now, let's add these probabilities together:
[tex]\[
\text{Probability of earning a score of 3 or higher} = \text{Probability of 3} + \text{Probability of 4} + \text{Probability of 5}
\][/tex]
Substituting the values, we get:
[tex]\[
\text{Probability of earning a score of 3 or higher} = 0.26 + 0.21 + 0.15
\][/tex]
Summing them up:
[tex]\[
0.26 + 0.21 = 0.47
\][/tex]
[tex]\[
0.47 + 0.15 = 0.62
\][/tex]
Thus, the probability of earning a score of 3 or higher is [tex]\(0.62\)[/tex].
Therefore, the correct answer is [tex]\(0.62\)[/tex].
