of the 400 doctors attending a conference 240 practice family medicine and 130 were from countries outside the US.1/3 of the family medicine practitioners were not from the US. Whats the probability that a doctor practice family medicine or is from the US? not form the US? Not a doctor, but from the US?

From your data

F (Family doctor) = 240
I (inside the US) = 400-130= 270
FI = (2/3)(240) = 160

Make a Venn diagram using a rectangle with two overlapping circles inside, label one F and the other I
Place 160 for FI, the intersection of the two circles
Place 240-160 or 80 in the F not covered by FI
Place 270-160 or 110 in I not covered by FI
The sum of those three entries is 350, which means we have to put 50 outside the circles but inside the rectangle.

All the needed values can now be found.

( find your last part confusing, "Not a doctor, but from the US"
There is no mention of non-doctors in the 400, I assumed all mentioned as being from the US or non-US were doctors, and the remaining 400-240 were still other types of doctors than Family Practice )

To solve these probability questions, we can use the given information and apply some basic principles. Let's break down each question:

1. Probability that a doctor practices family medicine or is from the US:
- There are 240 doctors who practice family medicine, and 130 doctors from countries outside the US.
- 1/3 of the family medicine practitioners are not from the US, which means 1/3 * 240 = 80 doctors who practice family medicine are not from the US.
- To find the probability that a doctor practices family medicine or is from the US, we need to add the number of doctors who practice family medicine and the number of doctors from the US: 240 + 130 - 80 = 290.
- Therefore, the probability is 290/400 = 0.725, or 72.5%.

2. Probability that a doctor is not from the US:
- We know that there are 130 doctors from countries outside the US.
- Therefore, the probability that a doctor is not from the US is 130/400 = 0.325, or 32.5%.

3. Probability that a person is not a doctor, but is from the US:
- The total number of doctors attending the conference is 400.
- So, the probability of a randomly chosen person being a doctor is 400/400 = 1, or 100%.
- However, the question asks for the probability that a person is not a doctor, but is from the US. Since we only know the number of doctors attending the conference and not the total number of people, we cannot determine this probability from the given information.

Please let me know if anything is unclear or if you need further assistance.

To find the probability that a doctor practices family medicine or is from the US, we need to analyze the given information and use basic probability concepts.

Let's break down the information provided:

Total number of doctors attending the conference = 400
Number of doctors practicing family medicine = 240
Number of doctors from countries outside the US = 130

From this, we can derive the following:

Number of family medicine practitioners not from the US = (1/3) * 240 = 80

Now, to find the probability that a doctor practices family medicine or is from the US, we will use the concept of set notation.

Let's define the following sets:
A = Doctors who practice family medicine
B = Doctors from the US

To find the probability that a doctor practices family medicine or is from the US, we need to find the sum of the probabilities of A and B, and then subtract the probability of both A and B occurring at the same time.

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

First, let's find Probability (A):
Probability (A) = Number of doctors practicing family medicine / Total number of doctors
= 240 / 400
= 0.6

Next, let's find Probability (B):
Probability (B) = Number of doctors from the US / Total number of doctors
= (400 - 130) / 400
= 270 / 400
= 0.675

Lastly, let's find Probability (A and B):
Probability (A and B) = Number of family medicine practitioners from the US / Total number of doctors
= (240 - 80) / 400
= 160 / 400
= 0.4

Now, let's calculate the probability that a doctor practices family medicine or is from the US:

Probability (A or B) = Probability (A) + Probability (B) - Probability (A and B)
= 0.6 + 0.675 - 0.4
= 0.875

Therefore, the probability that a doctor practices family medicine or is from the US is 0.875, or 87.5%.

To find the probability that a doctor is not from the US, we can subtract the probability of being from the US from 1:

Probability (not from the US) = 1 - Probability (B)
= 1 - 0.675
= 0.325

Therefore, the probability that a doctor is not from the US is 0.325, or 32.5%.

Lastly, the probability that someone is not a doctor but is from the US cannot be determined from the given information. This calculation would require knowledge of the total population size or additional data beyond what is provided in the question.