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 monthMirs. Fraga's History ClassClassificationMales FemalesFreshmen1418Sophomores165139JuniorsSeniors1816GOOD

Answer 1

Step-by-step explanation

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of outcomes and the total number of outcomes.

`P=\frac{favorable\text{ outcomes}}{\text{total outcomes}}`

Step 1

define:

if Mrs. Fraga randomly chooses one student, she chooses randomly from only the sophomores,so

`\text{total outcomes=}(16+5)=21`

and the favorable outcomes= 5 ( becuase there are 5 woman that play sophomore=

hence, the probabilit would be