Question

In a math class with 28 students, a test was given the same day that an assignment was due. There were 18 students who passed the test and 19 students who completed the assignment. There were 16 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?

Answer 1

To find the probability that a student chosen randomly from the class passed the test, we can use the concept of conditional probability. Given that there were 16 students who passed the test and also completed the assignment, we can calculate the probability as 4/7.

Step-by-step explanation:

To find the probability that a student chosen randomly from the class passed the test, we can use the concept of conditional probability. Let's define the events:

• A: Student passed the test
• B: Student completed the assignment

Given that there were 16 students who passed the test and also completed the assignment, we can say:

P(A and B) = 16

Also, there were 28 students in total, so:

P(B) = 28

Now, we can calculate the probability that a student chosen randomly from the class passed the test using the formula for conditional probability:

P(A|B) = P(A and B) / P(B)

Substituting the values:

P(A|B) = 16 / 28

= 4 / 7

Therefore, the probability that a student chosen randomly from the class passed the test is 4/7.