Answer:
Step-by-step explanation:
One can show that the probability of selecting a student whose household member smokes is equal to that of students who have asthma as well as those who do not have.
Secondly, one can show that the probability of a picking one student who has a household member who smokes from the asthmatic students has to be the same as the probability of picking a student with a household member who smokes from the entire students.
Secondly, one can show that the probability of a picking one student who has a household member who smokes from the non-asthmatic students has to be the same as the probability of picking a student with a household member who smokes from the entire students.
It is also possible to show that for the events to be independent, the probability of picking an asthmatic student from the students with no household member who smokes has to be the same as the probability of picking an asthmatic student from the students with at least a household member who smokes.