In a class of 50 students, 26 are Democrats, 13 are business majors, and 3 of the business majors are Democrats. If one student is randomly selected from the class, find the probability of choosing a Democrat or a business major.

Joint probablility.

Pr=(39/50)-(3/39)

Well, it seems like we're looking for the probability of choosing a Democrat or a business major. So let's break it down and start crunching the numbers.

We know that there are 26 Democrats in the class and 13 business majors. However, we also know that 3 of the business majors are Democrats. So, to avoid counting them twice, we should subtract that number from the total number of Democrats.

Therefore, the number of individuals who are either Democrats or business majors would be 26 Democrats + (13 business majors - 3 Democrat business majors) = 26 + 10 = 36.

Now, let's calculate the probability of selecting one of these 36 students out of the total number of students in the class, which is 50:

P(Democrat or Business Major) = Number of Democrats or Business Majors / Total Number of Students
= 36 / 50
= 0.72.

So, the probability of randomly choosing a Democrat or a business major from the class is 0.72, or approximately 72%.

Remember, though, these numbers are subject to change. So, if the class becomes a circus, you might find more clowns in there!

To find the probability of choosing a Democrat or a business major, we can use the principle of inclusion-exclusion.

Let's find the probability of selecting a Democrat first.

The number of Democrats is 26 out of a class size of 50 students, so the probability of selecting a Democrat is 26/50.

Next, let's find the probability of selecting a business major.

The number of business majors is 13 out of a class size of 50 students, so the probability of selecting a business major is 13/50.

Now, let's find the probability of selecting a student who is both a Democrat and a business major.

We know that 3 out of the 13 business majors are Democrats. So the probability of selecting a student who is both a Democrat and a business major is 3/50.

Using the principle of inclusion-exclusion, we can find the probability of choosing a Democrat or a business major:

Probability(Democrat or business major) = Probability(Democrat) + Probability(business major) - Probability(Democrat and business major)

Probability(Democrat or business major) = 26/50 + 13/50 - 3/50

Probability(Democrat or business major) = (26 + 13 - 3) / 50

Probability(Democrat or business major) = 36 / 50

Probability(Democrat or business major) ≈ 0.72

Therefore, the probability of choosing a Democrat or a business major is approximately 0.72 or 72%.

To find the probability of choosing a Democrat or a business major, we need to add the individual probabilities of choosing a Democrat and a business major and then subtract the probability of choosing a Democrat who is also a business major (to avoid double-counting).

First, let's find the probability of choosing a Democrat. There are 26 Democrats out of 50 students, so the probability of choosing a Democrat is 26/50.

Next, let's find the probability of choosing a business major. There are 13 business majors out of 50 students, so the probability of choosing a business major is 13/50.

Now, let's find the probability of choosing a Democrat who is also a business major. We know that 3 of the business majors are Democrats, so the probability of choosing a Democrat who is also a business major is 3/50.

To calculate the probability of choosing a Democrat or a business major, we add the probability of choosing a Democrat and the probability of choosing a business major and then subtract the probability of choosing a Democrat who is also a business major.

Probability of choosing a Democrat or a business major = (26/50) + (13/50) - (3/50)
= 39/50

Therefore, the probability of choosing a Democrat or a business major is 39/50.