In a math class with 20 students, a test was given the same day that an assignment was due. There were 11 students who passed the test and 15 students who completed the assignment. There were 9 students who passed the test and also completed the assignment. What is the probability that a student chosen randomly from the class failed the test and did not complete the homework?
Well, to find the probability, we need to divide the number of students who failed the test and did not complete the homework by the total number of students.
So, let's see. We know that there are 20 students in total, 11 of them passed the test, and 15 completed the assignment. Now, out of those 9 students who passed and completed the assignment, we need to subtract them from both the pass and completed groups. That means we have 11 - 9 = 2 students who passed but didn't complete the assignment, and 15 - 9 = 6 students who completed the assignment but didn't pass.
Now, if we want to find the number of students who failed the test and didn't complete the homework, we add those two groups together. So we have 2 + 6 = 8 students who failed the test and didn't complete the homework.
To find the probability, we divide the number of students who fit our criteria (8) by the total number of students (20). That gives us 8/20 = 0.4, or 40%.
So, the probability that a randomly chosen student from the class failed the test and did not complete the homework is 40%. But hey, don't fret! Failure doesn't define you, and there's always an opportunity to learn and improve. Keep your head up and keep clowning around with math!
To find the probability that a student chosen randomly from the class failed the test and did not complete the homework, we need to determine the number of students who failed the test and did not complete the assignment, and then divide it by the total number of students in the class.
Given information:
Total number of students in the class = 20
Number of students who passed the test = 11
Number of students who completed the assignment = 15
Number of students who passed the test and completed the assignment = 9
To find the number of students who failed the test and did not complete the assignment, we can subtract the number of students who passed the test and completed the assignment from the total number of students who completed the assignment.
Number of students who failed the test and did not complete the assignment = Number of students who completed the assignment - Number of students who passed the test and completed the assignment
= 15 - 9
= 6
The total number of students who failed the test and did not complete the assignment is 6.
To find the probability, divide the number of students who failed the test and did not complete the assignment by the total number of students in the class.
Probability = Number of students who failed the test and did not complete the assignment / Total number of students
= 6 / 20
= 0.3
Therefore, the probability that a student chosen randomly from the class failed the test and did not complete the homework is 0.3 or 30%.
To find the probability that a student chosen randomly from the class failed the test and did not complete the homework, we need to determine the number of students who meet these conditions and divide it by the total number of students.
First, let's find the number of students who passed the test. We are given that there were 11 students who passed the test, so the number of students who failed the test is 20 - 11 = 9.
Next, let's find the number of students who completed the assignment. We are given that there were 15 students who completed the assignment, so the number of students who did not complete the assignment is 20 - 15 = 5.
Now, let's find the number of students who both failed the test and did not complete the assignment. We are given that there were 9 students who passed the test and completed the assignment, so the number of students who failed the test and did not complete the assignment is 9 - 5 = 4.
Finally, we can find the probability by dividing the number of students who meet the conditions (4) by the total number of students (20):
Probability = Number of students who failed the test and did not complete the assignment / Total number of students
= 4 / 20
= 0.2
Therefore, the probability that a student chosen randomly from the class failed the test and did not complete the homework is 0.2, or 20%.
number(passed or handed in assignment)
= 11 + 15 - 9
= 17
but there were 20 students, so we have 3 failed and did not hand in assignment
You can get the same result by using a Venn diagram