Researchers are conducting a study to investigate the efficacy of a new drug, Drug X, in reducing blood pressure among hypertensive patients. They recruit 200 patients and randomly assign 100 patients to the Drug X group and 100 to the placebo group. After 3 months, they measure the number of patients in each group who had a significant reduction in blood pressure.

The results are as follows: 1. 70 out of 100 patients in the Drug X group had a significant reduction in blood pressure. 2. 50 out of 100 patients in the placebo group had a significant reduction in blood pressure.

Questions: 1. What is the probability that a randomly selected patient from the Drug X group had a significant reduction in blood pressure ?

2. What is the probability that a randomly selected patient from the placebo group had a significant reduction in blood pressure ?

3. If a patient had a significant reduction in blood pressure, what is the probability they were in the Drug X group?

4. Based on the results, if a new patient is administered Drug X, what is the probability they will experience a significant reduction in blood pressure?