Question

Mrs. Fraga's history class has 109 students. classified by academic year and gender, as illustrated in the following table. Mrs. Fraga randomly chooses one student tocollect yesterday's work. What is the probability that she selects a female, given that she chooses randomly from only the sophomores? Express your answer as a fractionin lowest terms or a decimal rounded to the nearest millionth.Mrs. Fraga's History ClassClassification Males FemalesFreshmen1418Sophomores51613Juniors9Seniors1816

Answer 1

The Solution:

From the given table, we have the Sophomores as below:

Male = 16

Female = 5

Total = 21

The probability of selecting a female given that the choice was made from only the sophomores is:

`P(\text{a female sophomores)}=\frac{\text{ number of female sophomores}}{\text{ total number of sophomores}}=(5)/(21)`

Therefore, the correct answer is 5/21