Question

At a drug rehab center 23% experience depression and 38% experience weight gain. 12% experience both. if a patient from the center is randomly selected, find the probability that the patient

a. experiences neither depression nor weight gain _______

Answer 1

To find the probability of a patient experiencing neither depression nor weight gain at the drug rehab center, subtract the probability of experiencing both from the total probability of experiencing depression or weight gain. So, the probability of experiencing depression or weight gain is 49% and probability of experiencing neither depression nor weight gain is 51%.

Step-by-step explanation:

To find the probability that a patient at the drug rehab center experiences neither depression nor weight gain, we need to subtract the probability of experiencing both from the total probability of experiencing depression or weight gain.

The probability of experiencing depression is 23% and the probability of weight gain is 38%. The probability of experiencing both is 12%.

So, the probability of experiencing depression or weight gain is 23% + 38% - 12% = 49%.

The probability of experiencing neither depression nor weight gain is 100% - 49% = 51%.