What is the probability that a randomly selected man between the ages of 55 and 64 does not have this disease

42%

To calculate the probability that a randomly selected man between the ages of 55 and 64 does not have the disease, we need information about the prevalence of the disease in this age group.

Once we have this information, we can use the following formula to calculate the probability:

Probability = 1 - Prevalence

Let's assume the prevalence of the disease in men between 55 and 64 years old is 0.15 (or 15%).

Using the formula, the probability that a randomly selected man in this age group does not have the disease is:

Probability = 1 - 0.15
Probability = 0.85 (or 85%)

So, the probability that a randomly selected man between the ages of 55 and 64 does not have the disease is 0.85 or 85%.

To determine the probability that a randomly selected man between the ages of 55 and 64 does not have a specific disease, we need more information. In order to calculate probabilities, we require data regarding the prevalence of the disease in the population.

If you have access to the number of men within that age range and the prevalence of the disease in that population, you can use the following steps to calculate the probability:

1. Determine the total number of men between the ages of 55 and 64 in the population.
2. Determine the number of men within that age range who have the disease.
3. Calculate the number of men within that age range who do not have the disease by subtracting the number of men with the disease from the total number of men in that age range.
4. Divide the number of men without the disease by the total number of men in that age range to get the probability of not having the disease.

For example, if there are 5000 men between the ages of 55 and 64 in a population, and 300 of them have the disease, then the probability of not having the disease would be (5000 - 300) / 5000 = 4700 / 5000 = 0.94, or 94%.

So, without knowing the prevalence of the disease and the total number of men within that age range, it is not possible to provide a specific probability.