Atest was given to a group of students. the grades and gender are summarized below a b c total male 5 18 8 31 female 9 7 16 32 total 14 25 24 63 if one student is chosen at random from those who took the test, find the probability that the student got a 'c' given they are male.

Pr. (male) = 0.49

Explanation:

                  A                   B                   C                   TOTAL

male           5                   18                   8                   31

female        9                   7                   16                   32

TOTAL        14                 25                 24                  63  

Now to find the probability that the student got a 'C' given they are male, we need to know the total numbers of males(i.e no of required outcomes) which = 31

also the total number of the group of students(i.e total no of possible outcomes) = 63

∴ Since Probability =

we have Pr (male) =  

=0.49