To determine the probability of earning a score lower than 3, we need to consider the scores that are less than 3. In this case, the scores are 1 and 2.
From the given distribution table:
- The probability of scoring 1 is [tex]\(0.18\)[/tex].
- The probability of scoring 2 is [tex]\(0.20\)[/tex].
To find the total probability of earning a score lower than 3, we sum the probabilities of scoring 1 and 2.
[tex]\[
\text{Probability of scoring 1} + \text{Probability of scoring 2} = 0.18 + 0.20 = 0.38
\][/tex]
Hence, the probability of earning a score lower than 3 is [tex]\(0.38\)[/tex]. Therefore, the correct option is [tex]\(0.38\)[/tex].
