Question

In a math class with 30 students, a test was given the same day that an assignment was due. There were 21 students who passed the test and 22 students who completed the assignment. There were 18 students who passed the test and also completed the assignment. What is the probability that a student chosen randomly from the class passed the test and completed the homework?

Answer 1

The probability that a student chosen randomly from the class passed the test and completed the homework is 3/5

Explanation:

No. of students passed the test = 21

No. of students completed the assignment = 22

No. of students who passed the test and also completed the assignment = 18

Total no. of students = 30

We are supposed to find the probability that a student chosen randomly from the class passed the test and completed the homework

So, probability that a student chosen randomly from the class passed the test and completed the homework =
`\frac{\text{No. of students who passed the test and also completed the assignment}}{\text{Total no. of students}}`

Probability that a student chosen randomly from the class passed the test and completed the homework =
`(18)/(30)= (9)/(15)=(3)/(5)`

Hence the probability that a student chosen randomly from the class passed the test and completed the homework is 3/5