Of the 400 doctors who attended a conference, 240 practiced family medicine and 130 were from countries outside the United States. One-third of the family medicine doctors were not from the united states. What is the probability that randomly selected doctor at the conference does not practice family medicine or is from the United States?
To find the probability that a randomly selected doctor at the conference does not practice family medicine or is from the United States, we need to calculate the number of doctors who meet these criteria and divide it by the total number of doctors at the conference.
Let's break down the information given:
- Total doctors at the conference: 400
- Doctors who practice family medicine: 240
- Doctors from countries outside the United States: 130
- One-third of family medicine doctors are not from the United States
First, let's find the number of doctors who practice family medicine and are from outside the United States:
240 (total family medicine doctors) * (1/3) = 80 doctors
Next, let's find the number of doctors who practice family medicine and are from the United States:
240 (total family medicine doctors) - 80 (family medicine doctors from outside the United States) = 160 doctors
Now, let's find the number of doctors who do not practice family medicine and are from the United States:
400 (total doctors) - 80 (family medicine doctors from outside the United States) - 130 (doctors from outside the United States) - 160 (family medicine doctors from the United States) = 30 doctors
Finally, let's calculate the probability of randomly selecting a doctor who does not practice family medicine or is from the United States:
(30 (doctors who do not practice family medicine and are from the United States)) / (400 (total doctors)) = 30/400 = 0.075 = 7.5%
Therefore, the probability that a randomly selected doctor at the conference does not practice family medicine or is from the United States is 7.5%.