A researcher randomly selects 95 high school students and asks their handwriting preference and how well they dance. The two-way table displays the data. Suppose one of the students is randomly selected. Let B = the student prefers writing in block letters and F = the student’s dancing skills are fair. A 4-column table with 3 rows. Column 1 has entries block, cursive, total. Column 2 is labeled minimal with entries 16, 9, 25. Column 3 is labeled Fair with entries 17, 21, 38. Column 4 is labeled Good with entries 13, 19, 32. column 5 is labeled Total with entries 46, 49, 95. The columns are titled dancing skills and the rows are titled handwriting preference.

Which of the following is the correct value and interpretation of P(B|F)?

P(B|F) = 0.37; given that the student has fair dancing skills, there is a 0.37 probability that they prefer to write with block letters.
P(B|F) = 0.37; given that the student prefers to write with block letters, there is a 0.37 probability that they have fair dancing skills.
P(B|F) = 0.45; given that the student has fair dancing skills, there is a 0.45 probability that they prefer to write with block letters.
P(B|F) = 0.45; given that the student prefers to write with block letters, there is a 0.45 probability that they have fair dancing skills.