Mrs. Connor's physics class has 9292 students, classified by academic year and gender, as illustrated in the table. Mrs. Connor randomly chooses one student to collect yesterday's work.   Mrs. Connor's Physics Class Academic Year Males Females Freshmen 16 12 Sophomores 11 10 Juniors 10 12 Seniors 8 13   What is the probability that she selects a female, given that she chooses randomly from only the sophomores? Express your answer as a fraction or a decimal rounded to four decimal places. What is the probability that she selects a sophomore, given that she chooses a female? Express your answer as a fraction or a decimal rounded to four decimal places.

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Mrs. Connor's physics class has 9292 students, classified by academic year and gender, as illustrated in the table. Mrs. Connor randomly chooses one student to collect yesterday's work.

 

Mrs. Connor's Physics Class

Academic Year Males Females
Freshmen 16 12
Sophomores 11 10
Juniors 10 12
Seniors 8 13
 

What is the probability that she selects a female, given that she chooses randomly from only the sophomores? Express your answer as a fraction or a decimal rounded to four decimal places.

What is the probability that she selects a sophomore, given that she chooses a female? Express your answer as a fraction or a decimal rounded to four decimal places.

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