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At a drug rehab center 41% experience depression and 27% experience weight gain. 14% experience both. If a patient is randomly selected, find the probability that the patient experiences neither depression nor weight gain.

Respuesta :

mathmate

Answer:

46%

Step-by-step explanation:

P(A) = 41% depression

P(B) = 27% weight gain

P(A and B) = 14% both

Therefore

P(A or B) = P(A)+P(B)-P(A and B) = 41+27-14 = 54%

P(~A and ~B) = 1 - P(A or B) = 1-54%=46%

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