Given the 3 subsets of set D = {1, 2, 3, 4, 5, 6} below:
A={2, 4, 6}
B={ 1, 2, 3, 6}
C={1, 2, 3, 4}
Find the probability of these events:
P(A), P(B), P(C), P(A B), P(A B), P(A|C).
Analyze and evaluate each probability, including advantages, disadvantages and validity of the results.
Find two events in this experiment that are: mutually exclusive and independent.

Consider the article that appeared in JAMA, entitled "Tobacco Smoking as Possible Etiologic Factor in Bronchiogenic Cancer", by Wynder & Graham, described below. Define the 6 events, amount of cigarette smoking. Compute their probabilities. Are there events that are mutually exclusive? Independent? Compute the odds of lung cancer for the different events, as well as, overall odds of lung cancer and odds ratio for each of the events and overall. Interpret your results. Share strategies used to arrive at your results with other groups. Analyze and evaluate math thinking of others.

Given the 3 subsets of set D = {1, 2, 3, 4, 5, 6} below:
A={2, 4, 6}
B={ 1, 2, 3, 6}
C={1, 2, 3, 4}
Find the probability of these events:
P(A), P(B), P(C), P(A B), P(A B), P(A|C).

Consider the article that appeared in JAMA, entitled "Tobacco Smoking as Possible Etiologic Factor in Bronchiogenic Cancer", by Wynder & Graham, described below. Define the 6 events, amount of cigarette smoking. Compute their probabilities. Are there events that are mutually exclusive? Independent?

Wynder and Graham found records of a large number (684) of patients with proven bronchiogenic carcinoma in hospitals in CA, CO, MO, NJ, NY, OH, PA, and UT. They interview 634 of them to identify their smoking habits, occupation, exposure to dust and fumes, alcohol intake, education, cause of death of parents and siblings. The other 50 patients information were obtained from family members and acquaintances. Of those in the study, the researchers focused on 605 male patients with the same form of lung cancer. Another 1332 hospital patients with similar age and economic distribution (including 780 males) without long cancer were interviewed by the researchers in MO, MA, OH, and IL. The following table summarizes the counts for the 605 male patients with the same form of cancer, and for the "control group" of 780 males.