Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male 18 16 8 42
Female 7 17 9 33
Total 25 33 17 75
If one student is chosen at random,
Find the probability that the student was NOT a female that got a "A"
Just like the other one
there are 7 females with A out of 75 students
probability that student is female with A = 7/75
so
probability not female with A = 1-7/75
= 0.907
Super, thanks!
To find the probability that the student was NOT a female that got an "A," we need to calculate the number of non-female students that got an "A" and divide it by the total number of students.
From the given table, we can see that the number of non-female students that got an "A" is 18.
The total number of students is 75.
Therefore, the probability that the student was NOT a female that got an "A" is:
P(not female and A) = Number of non-female students that got an "A" / Total number of students
P(not female and A) = 18 / 75
Simplifying the fraction:
P(not female and A) = 6 / 25
So, the probability that the student was NOT a female that got an "A" is 6/25 or 0.24.
To find the probability that the student was NOT a female that got an "A," we need to consider two groups: males who got an "A" and females who did not get an "A."
First, let's find the total number of females who did not get an "A." From the given table, we can see that 17 females got an "A," so the number of females who did not get an "A" is 33 - 17 = 16.
Next, let's find the total number of males who got an "A." According to the table, 18 males got an "A."
Now, let's calculate the total number of students who were not females that got an "A" by summing up the number of males who got an "A" and the number of females who did not get an "A." So, the total number of students who were not females that got an "A" is 18 + 16 = 34.
Finally, to find the probability, we divide the number of students who were not females that got an "A" by the total number of students. Therefore, the probability that the student chosen at random was NOT a female that got an "A" is 34/75 or approximately 0.453 or 45.3%.