Question

Giving a test to a group of students, the grades and gender are summarized belowGrades and GenderABсMale14618Female19153If one student was chosen at random, find the probability that the student was female.Probability=(Round to 4 decimal places)

Answer 1

From the question,

We are given the table below

We are to calculate proberbility that if one student was picked at random, it is a female

This will be done using

$P(\text{Female)}=\frac{\text{Number of females}}{Total\text{ Gender}}$

From the given table

Number of Females = 19 + 15 + 3 = 37

Total Gender = Number of Male + Number of Female

= 14 + 6 + 18 + 37 = 75

Therefore, we get

$\begin{gathered} P(\text{Female)}=\frac{37}{75} \\ P(\text{Female)}=0.4933 \end{gathered}$

Therefore, Probability = 0.4933