10
QuizMultiple Choice

Conditional Probabilities

Question 10 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

According to a recent survey of first-year high school students, 28% chew gum daily. The students were also asked if they had recently gotten a cavity filled at the dentist. Of the 47% of first-year students who responded that they had a cavity recently filled, only 39% chewed gum daily.Is chewing gum independent of having a cavity filled recently?

Answer
A
Yes, P(Gum) = P(Gum|Cavity).
B
Yes, P(Gum) = P(Cavity|Gum).
C
No, P(Gum) ≠ P(Gum|Cavity).
D
No, P(Gum) ≠ P(Cavity|Gum).