According to the following results, what is the probability that a person taking this drug will experience both side effects?
A drug was administered to 100 people. Follow-up interviews were conducted in which patients were asked whether or not they experienced various side effects. 7 of the patients reported experiencing a rise in blood pressure, 6 of the patients reported experiencing a loss of sleep, and 3 reported experiencing both of these side effects. (i.e. A total of 7 patients said yes when asked whether they experienced a rise in blood pressure, a total of 6 said yes when asked whether they experienced a loss of sleep, and a total of 3 said yes in both cases.) According to these results, what is the probability that a person taking this drug
A drug was administered to 100 people. Follow-up interviews were conducted in which patients were asked whether or not they experienced various side effects. 7 of the patients reported experiencing a rise in blood pressure, 6 of the patients reported experiencing a loss of sleep, and 3 reported experiencing both of these side effects. (i.e. A total of 7 patients said yes when asked whether they experienced a rise in blood pressure, a total of 6 said yes when asked whether they experienced a loss of sleep, and a total of 3 said yes in both cases.) According to these results, what is the probability that a person taking this drug
1 Answer
3%
Explanation:
We're told that 3 out of the 100 people given the drug experienced the two side effects. We can write that as:
If we then expand this to the total population of people who will take the drug, we can expect the same ratio of people to experience the two side effects, and so we'll expect 3% of people to experience both.
