Question

Mr. Connor's physics class has 86 students, classified by academic year and gender, as illustrated in the following table. Mr. Connor randomly chooses one student to collect yesterday's work. What is the probability that he selects a female, given that he chooses randomly from only the juniors? Express your answer as a fraction in the lowest terms or decimal rounded to the nearest millionth

Answer 1

Based on the given table:

No. of Junior students = 10 + 14 = 24

No. of Female Junior students = 14

The probability that he selects a female, given that he chooses randomly from only the junior is determined by the following formula:

`\text{ Probability = }\frac{\text{ No. of Female Junior students}}{\text{ No. of Junior students}}`

We get,

`\text{ Probability = }\frac{\text{ 14 }}{\text{ 24 }}\text{ = }\frac{\text{ 7 }}{\text{ 12 }}\text{ \lparen simplified\rparen}`

Therefore, the probability is 7/12.