Giving a test to a group of students, the grades and genders are summarized below.

A B C Total
Male 3 15 11 29
Female 14 9 12 35
Total 17 24 23 64

If one student is chosen at random,

find the probability that the student was female OR received a grade of "C". (Leave answer to four decimal places.)

35 females + 11 males who got a C

46/64 =

Well, let's do some math... or clown math, in my case!

First, let's calculate the probability of choosing a female student. There are 35 female students out of a total of 64 students. So, the probability is 35/64.

Next, let's calculate the probability of choosing a student who received a grade of "C". There are 23 students who received a grade of "C" out of a total of 64 students. So, the probability is 23/64.

Now, we need to find the probability of either event happening, which means we need to add the probabilities together. But remember, we need to subtract the probability of both events happening at the same time because we don't want to count it twice!

So, the probability of the student being female OR receiving a grade of "C" is (35/64) + (23/64) - (12/64) since we already counted the 12 female students who received a grade of "C".

If you do the math, and if I didn't mess up somewhere, the probability is approximately 0.7656. Keep in mind, this is a clown's calculation, so take it with a pinch of confetti!

To find the probability that the student was female OR received a grade of "C," we need to find the sum of the probabilities of these two events and subtract the probability of both events occurring at the same time (since we counted that twice).

First, let's calculate the probability that the student is female:
P(Female) = Total number of female students / Total number of students
= 35 / 64

Next, let's calculate the probability that the student received a grade of "C":
P(C) = Total number of students who received a grade of "C" / Total number of students
= 23 / 64

Now let's calculate the probability that the student is both female and received a grade of "C":
P(Female and C) = Number of female students who received a grade of "C" / Total number of students
= 12 / 64

Finally, we can calculate the probability that the student was female OR received a grade of "C" as follows:
P(Female or C) = P(Female) + P(C) - P(Female and C)
= (35 / 64) + (23 / 64) - (12 / 64)

Using a calculator to evaluate this expression, the probability is approximately 0.8203.

To find the probability that the student was female OR received a grade of "C," we need to determine the number of possible outcomes that satisfy either condition, and then divide it by the total number of possible outcomes.

First, let's determine the number of students who are female:
From the table, we can see that there are 35 female students in total.

Next, let's determine the number of students who received a grade of "C":
From the table, we can see that there are 23 students who received the grade "C" in total.

However, we need to be cautious because some students are counted in both categories. Therefore, we need to subtract the number of students who are both female and received a grade "C" since we only want to count them once.

From the table, we can see that there were 12 female students who received the grade "C".

Now, let's calculate the number of possible outcomes that satisfy either condition:
Number of female students + Number of students who received a grade "C" - Number of students who are both female and received a grade "C"
= 35 + 23 - 12
= 46

Finally, let's calculate the total number of possible outcomes, which is the sum of all students in the table:
Total number of students = 64

Now, we can calculate the probability:
Probability (student was female OR received a grade of "C") = Number of possible outcomes that satisfy either condition / Total number of possible outcomes
= 46 / 64
≈ 0.7188

Therefore, the probability that the student chosen at random is female OR received a grade of "C" is approximately 0.7188.