Respuesta :
Answer with Step-by-step explanation:
The events A and B are called independent if:
P(A∩B)=P(A)×P(B)
We are given that:
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.
P(F)=0.75
P(T)=0.50
P(F∩T)=0.25
P(F)×P(T)=0.375≠P(F∩T)
Hence, events F and T are not independent
The event of having a fire drill and a tornado at the school are not independent events.
Are the events independent?
Two events is independent if the chances one event occuring does not depend on another event.
In order to determine if the events are independent, multiply 75% by 50%
P(F) X P(T)
= 0.75 X 0.5 = 0.375
The given probability of having both drills is 25%. thus the events are not independent.
To learn more about probability, please check: https://brainly.com/question/13234031
