Discuss the below:
Q: An allergy drug is tested by giving 120 people the drug and 100 people a placebo. A control group consists of 80 people who were given no treatment. The number of people in each group who showed improvement appears in the table below.
..................................allergy drug...............placebo.........control..........Total
Improvement............65.................................42.................31................138
No improvement.......55................................58.................49..................162
Total........................120.............................100.................80................300
1) What is the probability that a randomly selected person in the study was given either the drug or the placebo?
2) What is the probability that a randomly selected person either improved or did not improve?
3) What is the probability that a randomly selected person either was given the drug or improved?
4) What is the probability that a randomly selected person was given the drug and improved?