11
QuizMultiple Choice

Probability with Combinations and Permutations — Unit test

Question 11 of 25 • SS Integrated Math IIB 2026

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.

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Answer
A
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.
B
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.
C
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.
D
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.
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