A random sample of adults was asked about their highest education level completed. The distribution of results is shown in the table. Education Level High School Diploma Trade School Certificate Bachelor's Degree Master's Degree None Completed Probability 0 point 0 3 0 point 4 4 0 point 2 6 0 point 1 1 0 point 1 6 What is the probability that the highest level of education of an adult is a high school diploma, given that they have completed at least one of the education levels shown?
“Completed at least one” excludes the “None Completed” group, which has probability 0.16. So the probability of having completed at least one listed level is 1 − 0.16 = 0.84. The conditional probability of a high school diploma is 0.03 ÷ 0.84 ≈ 0.036, which rounds to 0.04, choice B.
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