uppose that 61% of all adults in a certain community are obese and that 31% suffer from diabetes. If 23% of the adults in this community are both obese and suffering from diabetes, what is the probability that a randomly chosen adult in this community is obese or suffers from diabetes (or both) ? Write your answer as a decimal (not as a percentage).

Question

Ivy Rodriguez

Mathematics

9 September, 08:03

uppose that 61% of all adults in a certain community are obese and that 31% suffer from diabetes. If 23% of the adults in this community are both obese and suffering from diabetes, what is the probability that a randomly chosen adult in this community is obese or suffers from diabetes (or both) ? Write your answer as a decimal (not as a percentage).

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Answers (1)

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Brice Atkinson · Answer 1

0.69

Step-by-step explanation:

A: obese

B: diabetes

P (A) = 61

P (B) = 31

P (A and B) = 23

P (A or B) = P (A) + P (B) - P (A and B)

P (A or B) = 61 + 31 - 23 = 69%=0.69