Question

In a study of 380 diabetics and nondiabetics, patients were classified as underweight, normal weight, overweight and obese according to their diabetes status. The probability of being normal weight is 0.31 and the probability of having diabetes is 0.39. If you select two individuals from the population, the probability of being diabetic and normal weight is 0.09.

What is the probability that either of the two randomly selected individuals (or both) will be diabetic or normal weight?

a. Pr (diabetic ∩ normal weight)=0.09

b. Pr (diabetic ∪ normal weight)=0.61

c. Pr (diabetic | normal weight)=0.29

d. It is not possible to calculate with the given information

Answer 1

P(Diabetic U normal weight)

= P(Diabetic) + P(Normal weight) - P(Both)

= 0.31 + 0.39 - 0.09

= 0.61

Option B is correct.