2
QuizMultiple Choice

Conditional Probabilities

Question 2 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

A researcher randomly sampled 222 high school students to determine their favorite color and whether or not they played a sport. The two-way table displays the data.A randomly selected student who participated in the survey is selected. Let event S = the student plays a sport and let event B = favorite color is blue, green, or purple. What is the value of P(B|S)?

Question illustration
Answer
A
StartFraction 36 Over 104 EndFraction
Option A
B
StartFraction 41 Over 118 EndFraction
Option B
C
StartFraction 36 Over 77 EndFraction
Option C
D
StartFraction 41 Over 77 EndFraction
Option D
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