In a math class with 20 students, a test was given the same day that an assignment
was due. There were 12 students who passed the test and 13 students who completed
the assignment. There were 10 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?
=1/2

"Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen."

Given

Number of students in a math class = 20

Number of students who passed the test = 12

Number of students who completed the assignment = 13

Number of students who passed the test and also completed the

assignment = 10

Formula to find probability of an event

Probability = [tex]\frac{Number of Favorable Outcomes}{Total Number of Favorable Outcomes}[/tex]

The probability that a student chosen randomly from the class

passed the test and completed the homework

= [tex]\frac{Number of Students Passed the Test and Completed the Homework }{Total Number of Students}[/tex]

= [tex]\frac{10}{20}[/tex]

= [tex]\frac{1}{2}[/tex]

Hence, the probability that a student chosen randomly from the class

passed the test and completed the homework is [tex]\frac{1}{2}[/tex].

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