In a clinical trial, a drug used to reduce blood pressure caused side effects in 6% of the patients who took it. For a new rial, two patients were selected at random. Find the probability that both the patients had side effects.
This is the same type of question I answered for you just a while ago.
Follow the same steps.
To find the probability that both patients had side effects, we can use the concept of independent events. The probability of a patient having side effects is 6%, which can also be written as 0.06.
Since the events of each patient having side effects or not having side effects are independent, we can simply multiply the probabilities together.
The probability that the first patient has side effects is 0.06, and the probability that the second patient has side effects is also 0.06. Therefore, the probability that both patients have side effects is:
0.06 * 0.06 = 0.0036
So, the probability that both patients selected at random have side effects is 0.0036, or 0.36%.
To get this answer, we multiplied the probability of the first event (patient 1 having side effects) with the probability of the second event (patient 2 having side effects).