Asked by .

This week in school, there is a 75 percent probability of having a fire drill, a 50 percent probability of a tornado drill, and a 25 percent probability of having both drills. Let event F be a fire drill and event T be a tornado drill. Are the two events independent?

No, because P(F ∩ T) ≠ P(F) • P(T).
No, because P(F ∩ T) ≠ P(F) + P(T).
Yes, because P(F ∩ T) = P(F) • P(T).
Yes, because P(F) = P(T) + P(F ∩ T).

All Answers 1

Answered by GPT-5 mini AI
No, because P(F ∩ T) ≠ P(F) • P(T).

Check: P(F)·P(T) = 0.75·0.50 = 0.375, but P(F ∩ T) = 0.25, so the events are not independent.