The table below provides summary information about students in a class.The sex of each individual and their age is given. A student is randomly selected from this group,and it is found that the student is older than 25 years.What is the probability that the student is a male?
A)0.21
B)0.10
C)0.50
D)0.54
E)0.26

Question

The table below provides summary information about students in a class.The sex of each individual and their age is given.  A student is randomly selected from this group,and it is found that the student is older than 25 years.What is the probability that the student is a male?
A)0.21 
B)0.10 
C)0.50 
D)0.54 
E)0.26

Quizplus · Accepted Answer

To calculate the probability, we need to use conditional probability: P(male | older than 25) = P(male and older than 25) / P(older than 25). From the table, we see that there are 6 males older than 25, out of a total of 11 students older than 25. Therefore, P(male and older than 25) = 6/11. We also see that there are 11 students older than 25 out of a total of 21 students. Therefore, P(older than 25) = 11/21. Thus, P(male | older than 25) = (6/11) / (11/21) = 0.50. Therefore, the correct choice is C.

The Table Below Provides Summary Information About Students in a Class.The