Question

In a math class with 28 students, a test was given the same day that an assignment

Answer 1

Answer:

Probability that a student who passed the test did not  complete the homework = 0.07

Step-by-step explanation:

Given:

Total number of students = 28

Number of students who passed the test = 18

Number of students who completed  the assignment = 23

Number of students who passed the test and also completed the  assignment = 16

To find: probability that a student who passed the test did not  complete the homework

Solution:

Probability refers to chances of occurrence of some event.

Probability = number of favorable outcomes/total number of outcomes

Let A denotes the event that students passed the test and B denotes the event that students completed  the assignment

P(A only) = $P(A)-P(A\cap B)$

Here,

$P(A)=\frac{18}{28}\,,\,P(A\cap B)=\frac{16}{28}$

So,

$P(A\,\,only)=\frac{18}{28}-\frac{16}{28}=\frac{2}{28}=\frac{1}{14}=0.07$

Therefore,

probability that a student who passed the test did not  complete the homework = 0.07