The following two-way table shows the distribution of high school students categorized by their grade level and music-listening preference.
A 4-column table with 3 rows. Column 1 has entries junior, sophomore, total. Column 2 is labeled Earbuds with entries 4, 4, 8. Column 3 is labeled Speakers with entries 12, 12, 24. Column 4 is labeled total with entries 16, 16, 32. The columns are titled music-listening preferences and the rows are titled grade level.
Suppose a high school student is selected at random. Let event A = junior and event B = earbuds. Are events A and B independent?
Yes, P(A) = P(A|B).
Yes, P(A) = P(B|A).
No, P(A) ≠P(A|B).
No, P(A) ≠P(B|A).