Question

In a math class with 21 students, a test was given the same day that an assignment was due. There were 14 students who passed the test and 16 students who completed the assignment. There were 12 students who passed the test and also passed the test and also completed the assignment . What is the probability that a student chose randomly from the class passed the test or completed the homework? PLEASE HELP ME, WHOEVER ANSWERS I’ll MARK BRANLIEST!!

Answer 1

Passed test and did assignment: 12

Passed the test 14

Did assignment: 16

Then:

$14-12=2$$16-12=4$

Then:

$2+4+12=18$

There were 18 students who did something.

$21-18=3$

This leaves 3 people who did nothing. 12 out of the 16 who did the homework passed the test so:

$\frac{12}{16}=0.75$

The probability is 0.75.