SOLUTION: At the start of flu season, Dr. Anna Ahmeed examines 50 patients over two days. Of those 50 patients, 30 have a
headache, 24 have a cold, and 12 have neither symptom. Some patien
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-> SOLUTION: At the start of flu season, Dr. Anna Ahmeed examines 50 patients over two days. Of those 50 patients, 30 have a
headache, 24 have a cold, and 12 have neither symptom. Some patien
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Question 1198140: At the start of flu season, Dr. Anna Ahmeed examines 50 patients over two days. Of those 50 patients, 30 have a
headache, 24 have a cold, and 12 have neither symptom. Some patients have both symptoms.
a) Draw a Venn diagram
b) Find the probability that a patient selected at random has just a headache. Express the answer in fraction form lowest terms. Answer by ikleyn(52817) (Show Source):
You can put this solution on YOUR website! .
At the start of flu season, Dr. Anna Ahmeed examines 50 patients over two days. Of those 50 patients, 30 have a
headache, 24 have a cold, and 12 have neither symptom. Some patients have both symptoms.
a) Draw a Venn diagram
b) Find the probability that a patient selected at random has just a headache. Express the answer in fraction form lowest terms.
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Step by step
Step 1. Find the probability that a randomly selected patient has a headache or a cold
P(at least one of both symptoms) = 1 - P(neither symptom) = 1 - = .
Step 2. Find the probability that a randomly selected patient has both symptoms.
Use the formula
P(at least one symptom) = P(headache) + P(cold) - P(both symptoms).
It gives
P(both symptoms) = P(headache) + P(cold) - P(at least one symptom) = + - = .
Step 3. The probability that a randomly selected patient has just a headache is
P(just a headache) = P(at least one symptom) - P(both symptoms) = - = = . ANSWER
